Home
Class 12
MATHS
Consider f:Rto[-5oo] given by f(x)9x^2+6...

Consider `f:Rto[-5oo]` given by `f(x)9x^2+6x-5`, show that f is invertible with `f^(-1)(y)={(sqrt(y+6))/3)}`

Answer

Step by step text solution for Consider f:Rto[-5oo] given by f(x)9x^2+6x-5, show that f is invertible with f^(-1)(y)={(sqrt(y+6))/3)} by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODEL QUESTION PAPER 3

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • MODEL QUESTION PAPER 3

    SUBHASH PUBLICATION|Exercise PART C|13 Videos

  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART E|3 Videos

  • MODEL QUESTION PAPER 4

    SUBHASH PUBLICATION|Exercise PART E|3 Videos

Similar Questions

Explore conceptually related problems

Consider f: R _(+_ to [4, oo) given by f (x) = x ^(2) + 4. Show that f is invertible with the inverse f ^(-1) given by f ^(-1) (y) = sqrt (y -4), where R _(+) is the set of all non-negative real numbers.

If f:RrarrR defined by f(x)=(4x+3) , show that f is invertible and find f^(-1 .

Knowledge Check

  • Let f:[2, oo) rarr X be defined by f(x) = 4x-x^2 . Then, f is invertible if X =

    A
    `[2, oo)`
    B
    `(-oo, 2]`
    C
    `(-oo, 4]`
    D
    `[4, oo)`

    • Similar Questions

    Explore conceptually related problems

    If R, is the set of all non-negative real numbers prove that the f : R, to [-5, oo) defined by f(x) = 9x^(2) + 6x - 5 is invertible. Write also f^(-1)(x) .

    f : R to R be defined as f(x) = 4x + 5 AA x in R show that f is invertible and find f^(-1) .

    If f:ArarrA defined by f(x)=(4x+3)/(6x-4) where A=R-{2/3} , show that f is invertible and f^(-1)=f .

    If R, is the set of all non - negative real numbers prove that the function f:R_(+) to [-5, infty]" defined by "f(x)=9x^(2)+6x-5 is invertible. Write also f^(-1)(x) .

    If R_(+) is the set of all non-negative real numbers prove that the f:R_(+) to (-5, infty) defined by f(x)=9x^(2)+6x-5 is invertible. 39. Write also, f^(-1)(x) .

    If f: R to R defined as f(x) = (2x-7)/( 4) is an invertible function, write f^(-1) (x) .

    Let R+ be the set of all non-negative real numbers. Show that the function f : R+ rarr [ 4 ,oo ] given by f(x) = x^(2) + 4 is invertible and write the inverse of f.

    Home
    Profile