College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding - Page 420: 30

Answer

The inverse of the given function is: $\begin{array}{cc} &\bf{\text{Unemployment Rate}} & \bf{\text{State}} \\&5.0\% &\text{Virginia} \\&8.5\% &\text{Nevada} \\&6.7\% &\text{Tenneessee} \\&5.5\% &\text{Texas} \end{array}$

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: $\begin{array}{cc} &\bf{\text{Unemployment Rate}} & \bf{\text{State}} \\&5.0\% &\text{Virginia} \\&8.5\% &\text{Nevada} \\&6.7\% &\text{Tenneessee} \\&5.5\% &\text{Texas} \end{array}$
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