Home
Class 12
MATHS
Statement-1 : If f(x) is a constant func...

Statement-1 : If f(x) is a constant function, then `f^(-1)(x)` is also a constant function.
Statement-2 : If graphs of f(x) and `f^(-1)(x)` are intersecting then they always intersect on the line y = x.
Statement-3 : The inverse of `f(x) = (x)/(1+|x|)` is `(x)/(1-|x|)`

A

FTT

B

TFF

C

FFT

D

TFT

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - I) Subjective Type Questions|15 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - G) Integer Answer Type Questions|8 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Statement-1 : f(x) is a one-one function hArr f^(-1) (x) is a one-one function. and Statement-2 f^(-1)(x) is the reflection of the function f(x) with respect to y = x.

Statement 1: If f(x) is an odd function,then f'(x) is an even function.Statement 2: If f'(x) is an even function,then f(x) is an odd function.

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

Statement -1: f(x) is invertible function and f(f(x)) = x AA x in domain of f(x), then f(x) is symmetrical about the line y = x. Statement -2: f(x) and f^(-1)(x) are symmetrical about the line y = x.

If f(x) is a function such that f(xy)=f(x)+f(y) and f(3)=1 then f(x)=

Statement-1 : f : R rarr R, f(x) = x^(2) log(|x| + 1) is an into function. and Statement-2 : f(x) = x^(2) log(|x|+1) is a continuous even function.

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(x) is a function such that f(xy)=f(x)+f(y) and f(3)=1 then f(x) =