If $f:R \to R$ is defined by $f\left( x \right) = \left| x \right|$, then

${f^{ - 1}}\left( x \right) = - x$

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

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

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

f:R \to R

is defined by

f\left( x \right) = \left| x \right|

, then

View answer and explanation

Correct option: C

The function

{f^{ - 1}}\left( x \right)

does not exist

Option C (The function

{f^{ - 1}}\left( x \right)

does not exist) is correct because the absolute value function is not one-to-one, and therefore does not have an inverse.