Q 28. - Precalculus Enhanced with Graphing Utilities

Question

Find the inverse of one-to-one function. State the domain and the range of inverse function. 

Step-by-Step Solution

Answer

The inverse of given function is

The domain of inverse function is $\left\{6.5\%, 14.2\%, 9.5\%, 8.3\%\right\}$

The range of inverse function is { Virginia, Nevada, Tennessee, Texas}

Step 1. Definition of inverse function

The function is one-to-one. To find the inverse function, we interchange the elements in the domain with the elements in the range. 

The inverse of given function 

Step 2. Domain of inverse function

The domain of the inverse function is $\left\{6.5\%, 14.2\%, 9.5\%, 8.3\%\right\}$

Step 3. Range of inverse function

The range of inverse function is { Virginia, Nevada, Tennessee, Texas}