Q. If $f:R \rightarrow R$ is defined by $f(x) = |x|$, then
A) $f^{- 1}(x) = - x$
B) $f^{- 1}(x) = \frac{1}{|x|}$
C) The function $f^{- 1}(x)$ does not exist
D) $f^{- 1}(x) = \frac{1}{x}$
Explanation
(c)
Since, $f(x)$ is a many-one function. so its inverse does not exist.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.