Determine whether the statement is true or false.
-If a function f has an inverse function and the domain of f is all real numbers, then the domain of $\mathrm { f } ^ { - 1 }$ must also be all real numbers.

Question

Quizplus · Accepted Answer

The domain of $f^{-1}$ is the range of $f$, not necessarily all real numbers, unless $f$ is also onto (surjective).

Determine Whether the Statement Is True or False f−1\mathrm { f } ^ { - 1 }f−1

Determine Whether the Statement Is True or False $\mathrm { f } ^ { - 1 }$