Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If the function $f: R→R$ be defined by $f(x)=x^2-1,$ then $f^{-1}(8)$ is :

Options:

{0, 3}

{-1, 1}

{-3, 3}

{-2, 2}

Correct Answer:

{-3, 3}

Explanation:

The correct answer is Option (3) → {-3, 3}

$y=x^2-1$ so $x=±\sqrt{y+1}$

at $y=8$

$f^{-1}(8)=x=±\sqrt{8+1}$

$f^{-1}(8)=±3$

$f^{-1}(8)∈\{-3, 3\}$