Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If \(f:x\rightarrow x\) is defined by \(f(x)=|x|\) where \(x=\mathbb{R}\) then

Options:

\(f^{-1}(x)=\frac{1}{|x|}\)

\(f^{-1}(x)=-x\)

\(f^{-1}(x)=\frac{1}{x}\)

None of these

Correct Answer:

None of these

Explanation:

\(f:R\rightarrow R\)

from graph it is clear that the function is not bijective

\(⇒f^{-1}(x)\) does not exist.