Find Domain and Range of Square root of (9-x^2)

Find Domain and Range of root of (9-x^2) || Mathematics:Important question Series for 12th board/2nd PUC board

Пікірлер: 13

  • @prathamsinha8266
    @prathamsinha8266 Жыл бұрын

    Par sir agar yaha par x ki value 0(zero) dale to y root 9 ho jaye ga aur vo - 3 and +3 dono hoga?

  • @Kairav-lb8fh

    @Kairav-lb8fh

    11 ай бұрын

    Same doubt bro

  • @prathamsinha8266

    @prathamsinha8266

    11 ай бұрын

    @@Kairav-lb8fh 1. The square root is defined for positive values: 9-x^2 ≥ 0 ==> -3≤x≤3 ==> X Є [-3,3] 2. The minimum value for sqrt(9-x^2) is when x=3 and the minimum value is when x=0: Since sqrt(9-3^2)=0 and sqrt(9-0^2) = 3 then the range is [0,3]

  • @mathskartfor12thclass24

    @mathskartfor12thclass24

    4 ай бұрын

    You can understand in this way as well: Given that f(x)=√9−x2 The domain of the given function is x∈[−3,3] ⇒−3≤x≤3 ⇒0≤x2≤9 ⇒−9≤−x2≤0 ⇒0≤9−x2≤9 ⇒0≤√9−x2≤3 ⇒0≤f(x)≤3 The range of the function is [0,3].

  • @SonofGrace-lz7xj

    @SonofGrace-lz7xj

    3 ай бұрын

    The simplification is top notch. Thanks sir

  • @jaimewolf-yw3ec
    @jaimewolf-yw3ec5 ай бұрын

    Thank you for walking through the process!

  • @gursehajsinghjosan2617
    @gursehajsinghjosan2617Ай бұрын

  • @kaptangurjar7441
    @kaptangurjar74414 ай бұрын

    ❤🎉

  • @shaikaltaf7734
    @shaikaltaf77342 жыл бұрын

    Tq sir 🤗

  • @aksags6339
    @aksags63392 жыл бұрын

    Tnq sir

  • @shahidaunnisashahidaunnisa7001
    @shahidaunnisashahidaunnisa70012 жыл бұрын

    Thank u sir😊

  • @shaktidas597
    @shaktidas5972 жыл бұрын

    Thank you sir

  • @prateekzxi
    @prateekzxi2 жыл бұрын

    Hello do you know me

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