Home
Class 12
MATHS
Statement 1: The set (x:f(x)=f^(-1)+(x)}...

Statement 1: The set `(x:f(x)=f^(-1)+(x)} = {0, --1}`.
Statement 2: f'is a bijection.

A

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

B

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

C

Statement 1 is true, statement 2 is false.

D

Statement 1 is false, statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f be a function from a set X to a set Y. Consider the following statements P : For each x in X , there exists unique y in Y such that f(x) = y . Q : For each y in Y , there exists x in X such that f(x) =y . R : There exist x_1 , x_2 in X such that x_1 ne x_2 and f(x_1) = f(x_2) . The negation of the statement "f is one-to-one and onto" is

Let f(x) = (x+1)^2 -1, x ge -1 ). Then the set {x: f(x) = f^(-1) (x)} is

If f (x) = (x +2)/( 3x -1) , then f {f (x) } is

A function f:ArarrB ,where A={1,2,3} and B={4,5,6} defined by f(1)=5 , f(2)= 6 , f(3)=4 ,Check whether f is a bijection.If it is a bijection,Write f^-1 as set of ordered pair.

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f^'(x)

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

if f(x)=x/(x-1) , x!=1 find the inverse of f