Home
Class 12
MATHS
Consider f: R (+ to [4, oo) given by f (...

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.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.4|13 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|18 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.2|11 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise Miscellaneous Exercise on chapter 10|17 Videos

Similar Questions

Explore conceptually related problems

Consider f: R _(+) to [-5, oo) given by f (x) = 9x ^(2) + 6x -5. Show that f is invertible with f ^(-1) (y) = ((sqrt(y +6) -1)/(3)).

If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

Let f : X to Y be an invertible function. Show that the inverse of f ^(-1) is f, i.e., (f ^(-1)) ^(-1)=f.

Let f: [1/2, 1] to [-1,1] is given by f(x) =4x^(3)-3x and f^(-)(x) is given by:

If f: [1, oo) rarr [5, oo) is given by f(x) = 3x + (2)/(x) , then f^(-1) (x) =

f: [0, oo) rarr [4, oo) is defined by f(x)=I^(2)+4 then f^(-1)(13)=

If f: R to R is defined by f(x) =x-[x] , then the inverse function f^(-1)(x) =

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is