Q 9. - Precalculus Enhanced with Graphing Utilities

Question

If the domain of a one-to-one function $f$ is $\left[4,\infty \right]$, the range of its inverse, $f^{-1}$, is $\dots \dots$

Step-by-Step Solution

Answer

If the domain of a one-to-one function $f$ is $\left[4,\infty \right]$, the range of of its inverse,$f^{-1}$ is $\left[4,\infty \right]$

Step 1. Definition

If $f$ and $g$are inverse functions and $f$ is one-to-function, the domain of $f$ is the same as range of $g$.

Step 2. Explanation

Now given that domain of function $f$ is $\left[4,\infty \right]$, then the range of its inverse $f^{-1}$ is $\left[4,\infty \right]$