## College Algebra (10th Edition)

Published by Pearson

# Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding: 27

#### Answer

The inverse of the given function is: $\begin{array}{cc} &\bf{\text{Annual Precipitation (in.)}} & \bf{\text{Location}} \\&49.7 &\text{Atlanta, GA} \\&43.8 &\text{Boston, MA} \\&4.2 &\text{Las Vegas, NV} \\&61.9 &\text{Miami, FL} \\&12.8 &\text{Los Angeles, CA} \end{array}$

#### Work Step by Step

RECALL: The inverse of a function interchanges a function's domain and range. This means that the domain of the inverse is the range of the function, while the range of the inverse is the domain of the function. Thus, the inverse of the given function can be found by simply interchanging the domain and the range. Thus, the inverse of the given function is: $\begin{array}{cc} &\bf{\text{Annual Precipitation (in.)}} & \bf{\text{Location}} \\&49.7 &\text{Atlanta, GA} \\&43.8 &\text{Boston, MA} \\&4.2 &\text{Las Vegas, NV} \\&61.9 &\text{Miami, FL} \\&12.8 &\text{Los Angeles, CA} \end{array}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.