Home
Class 14
MATHS
f (x) is any function and f^(-1)(x) is k...

f (x) is any function and `f^(-1)(x)` is known as inverse of f(x), then `f^(-1)(x)` of `f(x)= x//(x-1), x ne 1` is

A

`x//(1+x)`

B

`(x)/(x^(2)-1)`

C

`x//(x-1)`

D

`-x//(x+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Expert Level)|11 Videos

  • COORDINATE GEOMETRY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • Fundamentals

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

f (x) is any function and f^(-1)(x) is known as inverse of f (x) , then f^(-1)(x) of f(x)=(1)/(x)+1 is

The function f(x)=(x-1)/(x+1), x ne -1 is

Let f (x) be invertible function and let f ^(-1) (x) be is inverse. Let equation f (f ^(-1) (x)) =f ^(-1)(x) has two real roots alpha and beta (with in domain of f(x)), then :

Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1

If f(x) is a one to one function, where f(x)=x^(2)-x+1 , then find the inverse of the f(x):

If f is any function, then (1)/(2) [ f (x) + f(-x) ] is always