Let $f(x)=(x+1)^2-1,x≥-1$ Statement

CUET Preparation Today

Start Free Mocks

Home Questions FTQ22SF3SA

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $f(x)=(x+1)^2-1,x≥-1$

Statement 1 : The set $\{x:f(x)=f^{-1}(x)\}=\{0,-1\}$

Statement 2 : f is a bijection

Options:

Statement 1 is true, Statement 2 is true ; Statement 2 is a correct explanation for Statement 1

Statement 1 is true, Statement 2 is true ; Statement 2 is not correct explanation for Statement 1

Statement 1 is true, Statement 2 is false

Statement 1 is false, Statement 2 is true

Correct Answer:

Statement 1 is true, Statement 2 is false

Explanation:

There is no information about co-domain therefore f (x) is not necessarily onto.