Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs
This algebra video tutorial explains how to find the inverse function and express the domain and range using interval notation. It includes examples with fractions, square roots, and graphs.
Introduction to Functions: • Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Function Operations:
• Function Operations
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
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Relations and Functions:
• Relations and Function...
Domain and Range From a Graph:
• Domain and Range of a ...
How To Find The Domain of a Function:
• How To Find The Domain...
Average Rate of Change of a Function:
• Average Rate of Change...
The Difference Quotient of a Function:
• Difference Quotient
_____________________________________
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
Composite Functions:
• Composite Functions
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Composite Functions - Data Table:
• How To Evaluate Compos...
Comp. of 3 Functions - Data Table:
• Composition of Three F...
Decomposing Functions:
• Decomposing Functions ...
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Introduction to Inverse Functions:
• Introduction to Invers...
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - 1 to 1 Functions:
• Horizontal Line Test a...
Vertical Line Test:
• Vertical Line Test
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite and Inverse Functions:
• Composite Functions an...
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Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
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Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: kzread.info/dash/bejne/jIh52JqInqrHqNI.html Transformations of Functions: kzread.info/dash/bejne/pq2FrtJvqJCtn7g.html Graphing Polynomial Functions: kzread.info/dash/bejne/pIODx8idobDcpKQ.html
@tanice807
3 ай бұрын
😊
at 2:48 when you cross multiply x*(3y-1) you give the solution as 3yx-3x, it should be 3yx-x and the final answer for the inverse function of F(x) becomes y=(x+5)/(3x-2)
@ronicqdumbu3847
2 жыл бұрын
This ..I thought I did wrong
@ashwinlakshminarasimhan1334
2 жыл бұрын
correct
@zalbesweaty7761
2 жыл бұрын
i got (-x-5)/(2-3x)
@fatimaazzahra789
2 жыл бұрын
@@zalbesweaty7761 me too i think this is the right one...
@fatimaazzahra789
2 жыл бұрын
@@zalbesweaty7761 well actually just multiply all with -
Your solution in the second problem is wrong. You cross multiplied x by 3y-1 and your answer is 3yx-3x which is supposed to be 3yx-x
@HayleeBaely
7 жыл бұрын
thank you. i paused for a second then decided to look at the comments.
@ChildOfMercy
7 жыл бұрын
Haley Kreger SAME!
@daniyalbadi488
6 жыл бұрын
Omg thanks for confirming I have a test in 5 mins and I thought I forgot how to cross multiply 😂
@ronaldospringer1779
6 жыл бұрын
you're right i notice too lol
@procrastinateXrok
6 жыл бұрын
yeah i caught that too, thanks for the verification
One Trillion times more helpful than any class material for college pre-calc. bless you, JG.
@kit_kat0686
Жыл бұрын
Bruh I'm a sophomore in high school and I have to learn this crap 😭
@sophiap.6952
Жыл бұрын
@@kit_kat0686i pray for you. i’m doing college pre calc, same as op and i cant fathom the chapter that deals with this. i’m also working with logarithmic and exponential functions which i am not a fan😤
@mewbies_camera
Жыл бұрын
Me rn but the class is online on edmentum 💀 I'm gonna be in 11th grade soon and I have no idea if I'll make it mentally. I hope everyone seeing this passes with flying colors, this is really complicated, so make sure to drink water and take notes
Yes, We are all brothers and sisters against math homework, one small mistake will not divide us and stop us from slaughtering our adversaries. We shall rise
@anthonygonzalez5645
3 жыл бұрын
well put
@saracanter539
3 жыл бұрын
AMEN BROTHER
@nuraz5202
2 жыл бұрын
AAAAAAAAAAAAAAAAAA
Thank you so much, I have been struggling understanding my modules ever since school started this year. You have taught me more than my teachers and the endless modules they give.
.thanks for everything you're doing even if u made a mistake but you're still the best sir
@user-zp4bd2ie1m
3 жыл бұрын
This teacher is amazing
I don’t have a group study nor a study lab, watching your videos and just staying repetitious helps a lot
Thought I was buggin when I saw -3x 😂
At 12:48 , it should be ln(x+5).
@amiteshdas1511
Жыл бұрын
ye
Thank you really. I plan to take accounting since I can't pursue Computer science for now. As a grade 11 student, this channel helped me a lot since grade 9. Thank you for helping me out through my hard times. I love your voice it's so calming
yeah.,, I paused on the 2nd example at 2:50 . must be 3yx-x. But thanks anyway. still helps.
@kikiyolandaa
4 жыл бұрын
Yea
@mdfaris5462
3 жыл бұрын
ya correct me confuse to
@justinmontenegro7964
3 жыл бұрын
I was absolutely losing my fucking mind over that problem.
@maestro1894
3 жыл бұрын
bro ty
At 2:48 when you cross multiply x*(3y-1) it should be 3yx-x, instead of 3yx-3x, and the final answer for the inverse function of f(x) becomes y=(x+5)/(3x-2)
Thank you so much. I watched all your videos and I passed my finals. I just wanna congratulate you on a job well done
Hello Sir, your teaching techniques are same as my professor does in the class, so it makes me lots easier to understand, thank you!
@valerylouis6747
Жыл бұрын
This means that your professor learned from him 😂
@fionaTK3005
Жыл бұрын
@@valerylouis6747 I think so 🤔🤣🤣🤣!
i honestly love you so much and i don't know where my grades or my academic success would be if it weren't for you
My test is tomorrow and you make it so much better to understand it!! Thank you so much.
Thank you so much, i know this probs means nothing but just know there are people out there that realy appreciate your help!
This was so much easier to grasp ! Thanks a lot!
U know whats the difference between khan academy and OCT? Khan academy : Has humor OCT : straight to the point
Hello!! Thank you so much for ur wonderful lessons. Ur explanation makes our topics really easy Hope you continue doing this 🙏
I looked for many videos on inverse function but honestly this video was the best of all covering all the aspects of the inverse function. Thank you.
@zanonoza4918
11 ай бұрын
You're telling the truth.
So, tomorrow is my calculus quiz and I am studying today lol Such a Great Teacher he is. May ALLAH bless you !
thank you so much for uploading this video sir. God bless you. Great job.
this guy take things nice and slow and thats perfect for me. Thanks bro
Thank you, this was very helpful!
Thank you so much!!! This video helped me in the pandemic we are currently in
This was great! It helped a lot thank you so much!!!
Great video, despite the tiny mistake. Final answer for second question is, y = x+5/3x-2
12:50 you wrote (x-5) where it should be (x+5)
@hazza2247
4 жыл бұрын
I saw this aswell yeah
i cant believe vloggers get paid more than this guy. Legend 👍
Very Good, The Organic Chemistry Tutor, Keep It Up!
Best tutor in the whole world xx
the best videos that are ever uploaded in youtube tnx very much sir
Thanks it was very useful for last minute revision
Simply the best!
thank you so much dude, you really are out here doing gods work.
6:14 if you want to get the domain easily just used this Equal it to 0:. 2x-6=0 Transposed: 2x=0+6 Divided it. 2x=6 -----. ------ 2. 2 The domain is (3)
Thank you so much for this video!! You save my day !!
@ash-zm7ol
4 жыл бұрын
me2
i understand you more than my actual math teacher. i also got a different answer for the second problem, but i see what i did wrong... i think lol. thank you!!
This really helped thank you sir
We all make mistakes.. either way thanks. All of your videos are a huge help.
Thank you so much, Ive learnt a lot.🙏
thanks men you explain how can it be happen step by step and what do you do to get that.. nice bro keep it up
This KZread channel is my savior!😍😍😍
the best video for inverse equation
You are a life savior
My love for this channel is more than my life 🤩🤩
Sir plz upload vedio on combined functions logarithmic and trigonometric of this type how could we find domain and range of sin-1[ logx/3)]
Great explanation my friend you are great at teaching
Thank you for your very helpful and insightful videos. For the equation at 1:54 , I get y = x+5 over 3x-2.
@patricenembhard3755
Жыл бұрын
Same.
@ymz.hu.3gyt
7 ай бұрын
Correct
Thank you!
Very helpful!
Great 👍🏻 ... Thank you very much 😊
The comments confirmed I wasn't going insane lol. Anywho, thanks for all your vids! I'm a loyal sub 🦋
Your videos are so satisfying 💗❣️
sometimes I think I´m stuck, because I don´t understand a problem, but then, thanks to your samples I can see the problems with "different eyes"
Amazing and you solve it good
Dude it really helps me..thanksss
Thankx man omg this video save my grade
Thank you One million times.
00:01 Finding the inverse function algebraically and how to graph inverse functions. 02:53 Finding the inverse function by moving terms and isolating variables. 05:38 Explaining domain, range & inverse functions. 08:16 Understanding domain, range, and inverse functions with fractions, square roots, and graphs 10:51 Finding inverse functions using natural logs 13:54 Understanding domain and range in inverse functions 16:52 Proving two functions are inverses of each other 19:15 Identifying inverse functions and using line tests in graph analysis 21:36 Inverse functions have symmetry across the line y equals x.
Though the answer was wrong for one of the problems, the concept was correct so I thank you for keeping this video uploaded. It definitely helped with my homework. @the organic chemistry tutor
The final answer is x+5 divided by 3x-2
@lesliea.lolong155
5 жыл бұрын
I'M CORRECT THENN!! THANK YOU SIR!
@Hello-iq5ux
3 жыл бұрын
lol I felt pretty stupid wondering how he got 3x
Really helpful
I love your videos they are soo helpful!
You are marvelous!
very helpful video thanks :)
after you cross pultipled at 2: 58 , x * 3y -1 , should've been 3yx -1x, but you gave it 3yx -3x. other wise i love your curses. thank yu so much
Thank you po sir🤗❤ I always watch your video po❤
Thank you alot
Your solution for the second example was wrong. When you crossed multiplied x to 3y-1 you get 3xy-x, *not* 3xy-3x. If you're reading this, no you're not seeing things XD
@maddiemartin9073
5 жыл бұрын
I thought i was incorrect. Thnx for clarifying.
@ErinRaciell
5 жыл бұрын
OMG THANK YOU! for a minute i was like "I DONT KNOW ANYTHING ANYMORE!" LOL
@noriddin1685
5 жыл бұрын
yess! i tought i was wrong lol
@noriddin1685
5 жыл бұрын
so the answer is 5+x/3x-2?
@maxmendoza7118
5 жыл бұрын
i also noticed that lol
As a college studdent, this is significantly more helpful than reading a required reading made up of 20 pages
@KaisbsAbahhs
8 ай бұрын
College?i am learning this in 11th grade i swear
@siuol_ly6141
8 ай бұрын
@@KaisbsAbahhs Yeah, its precalculus. Which you also have in College. Depends on ur country ig. Had it in 11th Grade, had it again in 1st year Uni.
OMG IT IS SO AWSOME...u know wt i just subscribed ur channel keep it up bro.... (but the 2nd e.g???)
thank you
thank u so much :( in these time of the corona virus this is so helpful
you the man
I like your math video they help alot❤
sir i think you made a mistake at 12:50 . please reconsider that. In(x+5)-1...........then you wrote it like In(x-5)-1 divided by 3. isn`t it supposed to be In(-x-5) all divided by 3?
@chriswilliams5291
2 жыл бұрын
I noticed the same thing.
@CHRISA2T
2 жыл бұрын
Facts thought I was tripping, but we get the concept tho
EGD.formulario(65/99/7-6). drk non riconosciuto. in RSDA in 315_55_4(8)+8. riconosciuto RFF.
You are the GOAT
I love you!
Sir,is it still correct if at 3:14 the 3yx can be on the right side and it will be -3yx and then leaving the -3x on the right side and the 1 from the left will be -1 on the right? Is the function could still be correct? Cause I was confused you had a video of this before I watched it first before this but in this video it's differenct solution.Does that mean both are correct? I rewrite how you solved the equation and that's how you do it before
Just wondering, at about 12:45 , why did ln(x+5) change to ln(x-5)?
Yea after plugging in the real answer as f^-1 into f, I found the answer for #2 to be -x-5/-3x+2. When you check this against the f(x), you do get x so that will be your one-to-one.
i thought the next would be, x(3y-1) = 2y+5 which you will be going to distribute or multiply the x to 3y-1 that will give you the answer of 3xy-x =2y+5.. dunno if thats correct tho.
How to find the inverse function of f(x) = x^3 - 2x? I had a question similar to this on a test and I was seemingly supposed to change the range and domain of the function to get a valid inverse function but idk how to do that
i'm glad this exist ;-;
You're unique👏
This helped me a ton, thanks!! There were many errors here and there, small ones, yes.. not only on the equations, and it'd cost a lot if that were done on a test. Nevertheless, the video was really helpful.
The third problem does really help me
@DarkPrincess_M
Жыл бұрын
But if you apply the inverse function method to find the range of main function it would be all real numbers .... but in the video it's [0, ♾️) how?
the third problen, why can't I cube the x and radical first before transposing 1 on both sides?
I'm sorry please check your signs on the natural log equation, you switch addition with subtraction.
At 5:35 , does not > changes into < and equal to 6? since it was -6 on left side.
Learned so much from you than my complicated Senior high teacher😒
@saracanter539
3 жыл бұрын
Sammeeee
A question The domain of the inverse function at 6:55 is said to be [ 0 , infinity ) but shouldnt it be ( - infinity , infinity ) ? the function 1/2x^2 + 3 has no restrictions...
@markjosephmanaigquizana1394
Жыл бұрын
yes, x can be negative since it is raised by an even exponent.
@DarkPrincess_M
Жыл бұрын
Can u clarify it pls if you understand.... I am thinking of the same
@YohannesAlemayehu-om7iu
5 ай бұрын
You are right
Which perogrm or app u r using for this?
Ty
hello mr JG I HAVE A QUESTION KINDLY ABOUT INVERSE FUCTIONS WAITING FOR YOUR RESPONSE
at 18:45 why does 2 cancel each other? i never understood that and i don't know how to google it.