Let f:X to Y be an invertible function. ...

Let `f:X to Y` be an invertible function. Show that f has uniques inverse.

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

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

The function f(x) =tan x has

If f: R to R is an invertible functions such that f(x) and f^(-1) (x) are symmetric about the line y = -x , then

Let f : (-1, 1) to R be a differentiable function with f(0) = -1 and f'(0) = 1 . Let g(x) = [f(2f(x) + 2)]^2 . Then g'(0) is equal to

Let f be a real valued invertible functions such that f(( 2x-3)/( x-2))= 5x- 2 ,x ne =2 . Then the value of f^(-1) (13) is ………….

Let f be continuous and differentiable function such that f(x) and f(x) have opposite signs evergywhere . Then

Let Y = {n^(2) : n in N} sub N. Consider f:N to Y as f (n) = n ^(2). Show that f is invertible. Find the inverse of f.

Let f:R to R be a function such that |f(x)|le x^(2),"for all" x in R. then at x=0, f is