Introduction to function inverses | Functions and their graphs | Algebra II | Khan Academy

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Introduction to Function Inverses
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Пікірлер: 224

  • @shreendawg123
    @shreendawg12310 жыл бұрын

    why cant my schools just play your vids in classes???

  • @supercoolmunkee

    @supercoolmunkee

    6 жыл бұрын

    Lol, your comment is four years old. Just simply take online class, and when you're in a bind, look for a KZread video. I just like to learn the basics first by finding the solutions to get from Point A to Point B of the problem. That is all I really need to know. Why do teachers need to spend 30 minute to an hour on a specific type of problem? I feel like the problem is you gotta try and explain it in different ways to 30 students in one class when you could just watch this by yourself and have no problem solving it and actually seeing it visually.

  • @preciouspurplepuppy1628

    @preciouspurplepuppy1628

    4 жыл бұрын

    Oh how the time changes, watching this is my math class and I am in public school, a pandemic really changes things.

  • @jasinsworld3095

    @jasinsworld3095

    3 жыл бұрын

    @@supercoolmunkee but not all has internet connection bro

  • @fishby8070

    @fishby8070

    3 жыл бұрын

    @@jasinsworld3095 But nothing's fair. Some people just have to work harder than others to get to the same level.

  • @rajkir2852

    @rajkir2852

    3 жыл бұрын

    Becoz schooooools want us to become fool by paying some of our lovely moneyssss

  • @joymariearga
    @joymariearga6 жыл бұрын

    its just amazing how this video is uploaded way back in 2010 but is still very useful today and will be for the years to come. Thank you Khan Academy!!

  • @shezaag1171

    @shezaag1171

    5 күн бұрын

    tbh, cant even remember using social media before corona 🙂

  • @yonu2953
    @yonu29533 жыл бұрын

    Nice watching this 10 years later cause of corona🦠

  • @tajauniethompson2335

    @tajauniethompson2335

    3 жыл бұрын

    Same

  • @jaedynnguyen4841

    @jaedynnguyen4841

    3 жыл бұрын

    same

  • @chaoticsilence6557

    @chaoticsilence6557

    3 жыл бұрын

    Oml same😂

  • @musicwire7315

    @musicwire7315

    3 жыл бұрын

    hehehehehehehehehehahahahahahahahahahahaha

  • @voidjumpingwingmanpewpew1978

    @voidjumpingwingmanpewpew1978

    3 жыл бұрын

    same!

  • @KosovaWarrior
    @KosovaWarrior10 жыл бұрын

    Teachers in our school just complicate it as much as possible to mash our brains...but you Khan Academy are something that brought help to me and many other people...I am making progress in math only because of you and not because of my teachers...they are very bad,thank you,keep going.

  • @gorannmnm

    @gorannmnm

    6 жыл бұрын

    When you realize that all of years spent in elementary and high school are useless it's such a shame. Teachers only teached us how to calculate something and telling us to remeber all that formulas. They never teached us concepts and we have never had motivation to learn.

  • @unifiedgaming4526

    @unifiedgaming4526

    5 жыл бұрын

    I wouldn't say all teachers, but I do feel like there are some who don't teach it that well.

  • @gorannmnm

    @gorannmnm

    5 жыл бұрын

    @@benjaming4659 Dear Benjamin, they are very competent, but the way they teach us is not the right way. But it's just the way it is. You will learn the process of solving examples but the idea, history, goals, real world applications you just need to learn by youself. If they know all that yet why they don't tell us?

  • @flowerpetals5455

    @flowerpetals5455

    5 жыл бұрын

    Don’t know about your teacher but my techers tech almost in the same way as Khan Academy, I just need more time to understand. So, I can watch this video whole day (whereas I can't ask my techer to explain me the whole day...) Teachers really do there best. :) Thanks Khan Academy. 🙂

  • @vmartin222
    @vmartin2229 жыл бұрын

    THANK YOU KAHN ACADEMY YOURE MY HERO IF I GAVE YOU A DOLLAR FOR EVERY TIME YOU HAVE MADE EVERYTHING CLEAR I WOULD BE IN REALLY BAD DEBT

  • @user-zf8gy1yw1p

    @user-zf8gy1yw1p

    2 жыл бұрын

    LOLOL

  • @fatcow6636

    @fatcow6636

    2 жыл бұрын

    fatherless

  • @limitless1035

    @limitless1035

    Жыл бұрын

    @@fatcow6636 that's you

  • @rosepierce9382

    @rosepierce9382

    Жыл бұрын

    @@fatcow6636 You are the one that's acting mad fatherless here.

  • @ComradePanzer

    @ComradePanzer

    9 ай бұрын

    ​@@fatcow6636Says the person named 'Fatcow'

  • @TasyaAdzkiya
    @TasyaAdzkiya Жыл бұрын

    5:15 Additional notes from me: a variable is a "bucket" that can be any number based on its constraints and can be changed to any symbol, letter, or maybe shapes (it's basically anything distinct to be used to represent the "bucket") without changing the value of the expression. Up until x = f inverse of y = (1/2)y - 2, y is useful to see where it's coming from: it's coming from the original equation y = f(x) = 2x + 4, we just solve for x in terms of y to map from the range back to the domain or to make the output as the input and vice versa (that is why it is called inverse function). After we know where it's coming from, it's useful that at this point and onward, we change the symbol/variable from y to x to see the relationship between f inverse of y to f(x) or f of x. We can do that because we just change the symbol or the variable without changing the value. We could've change the y into a or b or anything, but we chose to change the y into x because we need to see the relationship between the f inverse of y and the f(x) or f of x. • x = f inverse of y = (1/2)y - 2 --------> change the letter y to X to see the correlation between this equation to f(x) (it's not going to change the value, it's the same as if you were to use star shapes to represent a variable and decide to change them to heart shapes) • x = f inverse of X = (1/2)X -2 We now see the correlation between f inverse of X and f(x) or f of x. In fact, f inverse of X is derived from f(x). Notice that it might be a little confusing since now, in the x or f inverse of X equation, the domain (input) and range (output) are represented by the same variable, they are just differentiated by means of capital letter and lowercase letter: x = f inverse of X (let us use capital X as the input and the lowercase x as the output to differentiate them) = (1/2)X - 2. • The x (range or output) = f inverse of X (domain or input) is similar to the y (range or output) in y (range or output) = f(x) or f of x (domain or input). • The X (domain or input) in x (range or output) = f inverse of X (domain or input) is similar to the x (domain or input) in y (range or output) = f(x) or f of x (domain or input).

  • @streetpartying
    @streetpartying12 жыл бұрын

    imagine if he taught a class on teaching, then maybe education in America would get better...

  • @kennywells9328
    @kennywells93283 жыл бұрын

    Got nothing but praise for this guy. He actually makes sense teaching math.

  • @khanacademy
    @khanacademy14 жыл бұрын

    @chizzy555 Maybe some trades. I could imagine the inverse trig functions would be pretty useful if you're building something.

  • @cboyslim5490
    @cboyslim54904 жыл бұрын

    khan academy is an Easy Mode feature for high school and college math lol

  • @stevenjames5874
    @stevenjames58743 жыл бұрын

    Jussst when I thought I had almost all of the basic algebra down. I'm halfway through differential calculus and realized I needed to re learn this :)

  • @MICHAELSMITH-eb4br
    @MICHAELSMITH-eb4br5 жыл бұрын

    This video was super helpful. Your ability to explain things makes it unbelievably easy to comprehend and conceptualize these otherwise confusing concepts. It's bizarre that I could spend about an hour in a class with an instructor going over this material and still left not knowing much more than I did at the beginning of that hour, yet I watch this video that's less than 10 minutes, and I totally get it now. However, what I can't wrap my brain around is how 69 individuals found this video unhelpful and gave it a thumbs down.

  • @Peacefulcrystalmoon
    @Peacefulcrystalmoon12 жыл бұрын

    you explain better than my math teacher ever could in his life! THANK YOU! My head does not swim in confusion anymore thanks to your detailed lessons!

  • @nyssia7
    @nyssia78 ай бұрын

    Crazy how this video was made before I turned 5 and now I'm watching it as a freshman in college

  • @pforrest10
    @pforrest103 жыл бұрын

    i had a moment when i had to pause the video just to be like "ohhhhhhhhh" cuz I finally understood. learning over zoom has been terrible but this was so helpful

  • @EatShanklish
    @EatShanklish14 жыл бұрын

    I see you've updated your sketch pad. Never thought these videos could get any better than they already were. Thanks, Sal, your a lifesaver.

  • @paulathepooh
    @paulathepooh10 жыл бұрын

    coming here when my teacher fails (that means i'm always here)

  • @MiyuwiTV

    @MiyuwiTV

    3 жыл бұрын

    lol

  • @snnacho
    @snnacho13 жыл бұрын

    loving the new writing Sal. Much neater!

  • @LucasKVogt
    @LucasKVogt7 жыл бұрын

    THANKS SO MUCH I ALWAYS COME TO YALL WHEN I NEED MATH HELP YOU'RE THE BEST!!!!

  • @mercilesscuttlefish
    @mercilesscuttlefish11 жыл бұрын

    i would never have made it through half of last year without these videos. thanks so much man.

  • @valhalla1515
    @valhalla1515 Жыл бұрын

    I'm working on a chapter in calculus for about 30-60min + listening to my professors lectures, before I start understanding it well. Then I watch a 9 min video from you and I understand it perfectly... Thanks alot!

  • @khanacademy
    @khanacademy14 жыл бұрын

    @chizzy555 Would be Algebra II or pre-calc

  • @yashaswikulshreshtha1588
    @yashaswikulshreshtha15883 жыл бұрын

    Dude, like literally YOU'RE THE BEST. Your videos are so intuitive. I love it, I have been after teachers to tell me what's inverse they would tell me it's opposite of what it does, I knew what they wanna say but i felt unsatisfied like it didn't make sense although I knew how to do it. But that part where you just told that question is there any way to get back to the x. After that why you solved for x made perfect sense....

  • @nixibrock7857
    @nixibrock785712 күн бұрын

    I AGREEE WE NEED MORE KHAN IIN CLASSES!!!!!!!!

  • @tarakmahetakaultachasma5715
    @tarakmahetakaultachasma57153 жыл бұрын

    Crystal clear explanation

  • @laurencrom
    @laurencrom11 жыл бұрын

    Makes perfect sense. Before, I didn't know what solving for the equation did. Now, thanks to Sal, I do!

  • @dibaonguyentat600
    @dibaonguyentat60010 ай бұрын

    OMG this explain everything! Thanks a lot!

  • @adithyareddy3766
    @adithyareddy37665 жыл бұрын

    Simplifying things so much.has been a great help to understand concept easily.thnk u

  • @sumitsaha1437

    @sumitsaha1437

    5 жыл бұрын

    kzread.info/dash/bejne/Y4Kq2rGcksXFfrw.html

  • @lauritzdanielsen5031
    @lauritzdanielsen50319 жыл бұрын

    Woaw man!! Just woaw!! I'm studying Biomedicine at my university, and my professors have tried to teach this to us for a while now, nobody gets it. Then i watched your movie and you explained it sooooo easily in just 9 minutes. THANK YOU!

  • @imbored9613

    @imbored9613

    2 жыл бұрын

    Hey man how's that biomed going? 7 years flew past huh

  • @Noor_alyaqin
    @Noor_alyaqin7 жыл бұрын

    شكرا جزيلا على هذا الشرح المبسط والمفهوم.

  • @venjaminschuster2797
    @venjaminschuster27972 жыл бұрын

    Thank you so so much! Deeply love your channel!

  • @MrLog5
    @MrLog510 жыл бұрын

    And i would like to say i love khan academy

  • @on99kim11
    @on99kim112 жыл бұрын

    i love this guy's video, explained much better than my school teacher

  • @AnujSingh-kt1cs
    @AnujSingh-kt1cs2 жыл бұрын

    East or west Khan academy is the best 🙏🙏🙏🙏

  • @Growth789
    @Growth7894 жыл бұрын

    thank u so much for clearing my concept..

  • @argaze8935
    @argaze8935 Жыл бұрын

    SO MUCH HELPFUL, THANK YOUU!!

  • @jackflash8756
    @jackflash8756 Жыл бұрын

    This part confused me a bit : F-1(y) =(1/2 )y -2 but replacing it with 'x' made me think of substituting y with (2x+4). So F-1 (x)= x It's a good job he said you could replace it with any other input variable name like 'a' or 'b' otherwise I'd be lost.

  • @Priya-ti4fe
    @Priya-ti4fe7 жыл бұрын

    Thank you so much. Your videos are so helpful.

  • @Daski69
    @Daski699 жыл бұрын

    one perhaps dumb question but I'd like to ask if the inverse of a function really is changing the dependent variable to the independent I mean if you have say y = 2x + 1 x = 1/2y - 1/2 if you graph the f(x) you get the same as if you graph the f(y), it is only when you change the y to x and x to y in the second function (the inverse) that you get the correct graph. Does it only become the inverse function when the switching of the y and x is done? I mean if you solve for x with respect to y you will still obviously get the same graph. Thanks!

  • @jamesleidhold

    @jamesleidhold

    9 жыл бұрын

    ya; another way of solving to find inverse functions is to switch x and y in the start and solve from there

  • @thearpita26
    @thearpita2612 жыл бұрын

    sal,u are great..! made a you tube account just to thank you..!

  • @blad487
    @blad4875 жыл бұрын

    Good job, I completely understood but unfortunately not what I’m looking for.

  • @Em-jf8xd
    @Em-jf8xd5 жыл бұрын

    I wish you'd actually write out the subtracting and dividing on both sides of the equation instead of just jumping to the answer. It makes it hard to follow along.

  • @Parlez-Vous-Francais
    @Parlez-Vous-Francais2 жыл бұрын

    Thank you Khan Academy that you exist!

  • @coleschemistrychannel4172
    @coleschemistrychannel41724 жыл бұрын

    My god, this is amazing.

  • @christiancobo5324
    @christiancobo532411 жыл бұрын

    There are huge problems with the public school system as well as universities.

  • @amroosman4799
    @amroosman47996 ай бұрын

    amazing explanation!!!!!!!!!!!!!!!!!

  • @daviddang2214
    @daviddang22144 жыл бұрын

    Thanks my teacher literally did 2 problems the whole period

  • @Param3021
    @Param3021 Жыл бұрын

    Great explanation!!!

  • @criscobucketeer
    @criscobucketeer14 жыл бұрын

    that just blew my mind

  • @KittehsMadness
    @KittehsMadness9 жыл бұрын

    thankyou so much!

  • @razanemad152
    @razanemad1527 ай бұрын

    amazing thank u

  • @hiddenblue1598
    @hiddenblue15983 жыл бұрын

    Though I slightly understand your point in representing it in graph Sal, It made it more confusing.. (for me) why would you bother to represent it when you already had the f^-1=1/2y-2? Anyway, thank you very much I'll just delve in to the topic of inverse functions to see why did you represent that.

  • @FriedNugget2
    @FriedNugget28 жыл бұрын

    You're the best!

  • @TheHedstrom
    @TheHedstrom14 жыл бұрын

    Interesting!

  • @ryanking7331
    @ryanking73315 жыл бұрын

    If only all my teachers were this good...

  • @flowerpetals5455

    @flowerpetals5455

    5 жыл бұрын

    Don’t know about your teacher but my techers tech almost in the same way as Khan Academy, I just need more time to understand. So, I can watch this video whole day (whereas I can't ask my techer to explain me the whole day...) Teachers really do there best. :) Thanks Khan Academy. 🙂

  • @kamaljitsingh2369
    @kamaljitsingh23697 жыл бұрын

    Very helpful

  • @genos6803
    @genos68033 жыл бұрын

    Thank you!!

  • @satjitlail4544
    @satjitlail454411 жыл бұрын

    thank you very much

  • @explorewithasma
    @explorewithasma Жыл бұрын

    Which app you use to record screen?

  • @zakarykarim9824
    @zakarykarim98244 жыл бұрын

    YOU'RE MY G BRO UR CARRYING ME THROUGH SAT MATHS 2 . SEND ME UR PAYPAL IF I BECOME RICH THANKS TO U IM SENDING U SO MUCH CASH BRO

  • @maxresdefault8235

    @maxresdefault8235

    4 жыл бұрын

    I'll give you my PayPal incase you can't get his if you want.

  • @TheSoloObserver

    @TheSoloObserver

    4 жыл бұрын

    Me 2

  • @cabanalibre
    @cabanalibre9 жыл бұрын

    In 5:58 you say that you can go back to the domain from the range "If possible". Is there an instance in which it is not possible?

  • @JumpingBamboo

    @JumpingBamboo

    6 жыл бұрын

    Bastiaan . Yes. A quadratic, like f(x)=x^2, will not always tell us exactly where to go back. Ex: f(-1)=1 and f(1)=1. If we go to 1 and ask what value we go back to, we can't say for sure. It's either 1 or -1. Inverse functions always tell us what value to go back to.

  • @JoKoivu
    @JoKoivu11 жыл бұрын

    I learned this in my algebra 2 class if that helps.

  • @apga1998
    @apga19984 жыл бұрын

    But why do we want to find an inverse?

  • @jessicalv6442
    @jessicalv64428 ай бұрын

    Save my life! Thanks!

  • @reeceanderson3257
    @reeceanderson32575 жыл бұрын

    at 6:50 did you go the wrong way for 2x shouldn't go to the right and not the left? cause left is -2x

  • @sumitsaha1437

    @sumitsaha1437

    5 жыл бұрын

    kzread.info/dash/bejne/Y4Kq2rGcksXFfrw.html

  • @mr.rohitkumar5086
    @mr.rohitkumar50863 жыл бұрын

    Sir ham x and y ko swap kyu krte h

  • @averyschroth2957
    @averyschroth2957Ай бұрын

    3rd comment in a row on one of your videos. Found my new math tutor 😂

  • @shimasfaris2917
    @shimasfaris2917 Жыл бұрын

    Here in 2023 😅 this 9m video has been more useful than an hour of my teacher explaining

  • @uchihaevita5323
    @uchihaevita53237 жыл бұрын

    this is so simple! i have no idea why my sir is complicating it by interchanging the values XD

  • @sanjaykj7898

    @sanjaykj7898

    2 жыл бұрын

    Hii

  • @armaxk754
    @armaxk754 Жыл бұрын

    thanksss

  • @ShubhamSingh-et5ch
    @ShubhamSingh-et5ch6 жыл бұрын

    Sir please tell me that what is the condition to be the function is invertable

  • @sumitsaha1437

    @sumitsaha1437

    5 жыл бұрын

    kzread.info/dash/bejne/Y4Kq2rGcksXFfrw.html

  • @s0m0c
    @s0m0c10 жыл бұрын

    Why do the functions are reflecting over the line y=x?

  • @MrbK-si5gk
    @MrbK-si5gk4 ай бұрын

    راقي

  • @MrLog5
    @MrLog510 жыл бұрын

    I turned 17 today

  • @Volcanic_Rave

    @Volcanic_Rave

    7 жыл бұрын

    ..........chirp..........chirp........

  • @Daniel.Emmanuel10

    @Daniel.Emmanuel10

    6 жыл бұрын

    Mariomaniac88 crickets don't chirp and why are you hating on everyone 😂

  • @Imraan53

    @Imraan53

    5 жыл бұрын

    You're 22 now wow

  • @flowerpetals5455

    @flowerpetals5455

    5 жыл бұрын

    Ha ha ha

  • @cynthiangatsha3589

    @cynthiangatsha3589

    5 жыл бұрын

    Good 22 now

  • @georgecostanza9440
    @georgecostanza94405 жыл бұрын

    It's funny how after 2 weeks of garbage from my teachers mouth I was lost and learned nothing but after 9 minutes I understand the whole thing

  • @MegaPixelPerfect
    @MegaPixelPerfect11 жыл бұрын

    what software are they using? :3

  • @williamstone96
    @williamstone969 жыл бұрын

    I understood it until 3:59, completely lost now.

  • @kwr2130

    @kwr2130

    8 жыл бұрын

    +William Stone what do you not understand

  • @minamisensei7952
    @minamisensei79527 жыл бұрын

    can i ask you why we switch places in the end? pls someone help me. Idk why we switch places.

  • @sumitsaha1437

    @sumitsaha1437

    5 жыл бұрын

    kzread.info/dash/bejne/Y4Kq2rGcksXFfrw.html

  • @aamg9586
    @aamg95862 ай бұрын

    6:19 i dont understand why 2x + 4 is plotted on the negative side of x not the positive.

  • @aamg9586

    @aamg9586

    2 ай бұрын

    I wish to know how the graph got plotted in that way 😢

  • @manuelvillafuerte7874
    @manuelvillafuerte787411 жыл бұрын

    how is y/2 the same as 1/2y?

  • @ishadow91

    @ishadow91

    5 жыл бұрын

    Y/2 means "half of Y" 1/2 means "one half Y". Essentially the same thing.

  • @jessp797
    @jessp7973 жыл бұрын

    4:28 u lost me there 😭

  • @hanahmaedelrosario6626
    @hanahmaedelrosario66263 жыл бұрын

    how do i make an essay about an inverse function : (((

  • @jasinsworld3095
    @jasinsworld30953 жыл бұрын

    Not all heroes wear capes

  • @servant4126
    @servant41263 жыл бұрын

    3:42 This is all I want to know

  • @nebiu9662
    @nebiu96626 жыл бұрын

    How did you get half 1/2

  • @amador4417
    @amador44176 жыл бұрын

    Do we need this in life lmao. 😂😂😂

  • @Purashwin6defOWNZ

    @Purashwin6defOWNZ

    5 жыл бұрын

    Functions describe situations where one quantity determines another. .... if you don't understand that 🤔🤔 good luck winning the lottery.

  • @aaryanporwal

    @aaryanporwal

    5 жыл бұрын

    It's used in encryption and decryption where encryption is a function and decryption is inverse of the function. Hash passwords don't have inverses therefore not possible to decrypt

  • @CRC1553
    @CRC15533 жыл бұрын

    Bro I hate my math teacher 😐 she is giving us a final on everything we did in 6 months for online school while another teacher left their class a ch test as a final 😐 now I’m stuck here watching all this dudes vids for the past 5 days reviewing 😭

  • @abhinavchauhangujjar6456
    @abhinavchauhangujjar64566 жыл бұрын

    what that range figure looks like😁

  • @sheezashuja2396
    @sheezashuja23962 жыл бұрын

    simple af

  • @achhantea5351
    @achhantea53516 жыл бұрын

    my math teacher, why didn't you tell me this. My life would have been so much easier.

  • @talal1458
    @talal14587 жыл бұрын

    It was a really awesome video but to be honest i still don't understand😭😭😢😢😵

  • @flowerpetals5455

    @flowerpetals5455

    5 жыл бұрын

    It happens... Keep going 🙂

  • @chikutashingalili5264
    @chikutashingalili5264 Жыл бұрын

    Can someone please explain to me why an inverse function is always =y

  • @CReePiNxMeaDoWs
    @CReePiNxMeaDoWs10 жыл бұрын

    160000 views and only 250 likes?

  • @Volcanic_Rave

    @Volcanic_Rave

    7 жыл бұрын

    Who the heck actually likes this?

  • @Daniel.Emmanuel10

    @Daniel.Emmanuel10

    6 жыл бұрын

    Mariomaniac88 people who need help with maths?

  • @kavinmugilan6933
    @kavinmugilan69333 жыл бұрын

    Why are we swapping the Y in f^-1(Y) with X

  • @noobtopro178
    @noobtopro1784 жыл бұрын

    Voice problem

  • @mcvdigital
    @mcvdigital11 жыл бұрын

    is f(n) the same as f(x)? thanks to anyone who answers!

  • @Daniel.Emmanuel10

    @Daniel.Emmanuel10

    6 жыл бұрын

    mcvdigital yes

  • @kaiwenlui4397
    @kaiwenlui43978 жыл бұрын

    I'm a seventh grader being forced to watch this help me but it's kinda cool

  • @julieawesome2066

    @julieawesome2066

    7 жыл бұрын

    SAMEEEE i think its interesting

  • @young9869

    @young9869

    7 жыл бұрын

    DanD Fish I'm in 11th grade 😂

  • @fatimaisra9143

    @fatimaisra9143

    4 жыл бұрын

    @@young9869 sem

  • @iforkliftcertified
    @iforkliftcertified4 жыл бұрын

    the goat

  • @MrbK-si5gk
    @MrbK-si5gk4 ай бұрын

    ماكو واحد يشرح هيج بالعراق

  • @alialkasem1222

    @alialkasem1222

    3 ай бұрын

    شرحه عادي

  • @MrbK-si5gk

    @MrbK-si5gk

    3 ай бұрын

    @@alialkasem1222 حب هنا عدنا اغلبهم يشرحون درخ

  • @alialkasem1222

    @alialkasem1222

    3 ай бұрын

    @@MrbK-si5gk الله يوفقك اظن عندكم انتو سادس؟

  • @MrbK-si5gk

    @MrbK-si5gk

    3 ай бұрын

    @@alialkasem1222ويوفقك هم اي سادس

  • @alialkasem1222

    @alialkasem1222

    3 ай бұрын

    @@MrbK-si5gk تحية من سوريا

  • @jud_h
    @jud_h Жыл бұрын

    im lost at 3:58