Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.2 One-to-One Functions; Inverse Functions - 5.2 Assess Your Understanding - Page 266: 27

Answer

The domain of the inverse function will be: $\{49.7,43.8,4.2,61.9,12.8\}$. The range of the inverse function will be: $\{\text{Atlanta, GA}, \text{Boston, MA}, \text{Las Vegas, NV}, \text{Miami, FL}, \text{Los Angeles, CA}\}$. The inverse function will create the following ordered pairs: $\{(49.7,\text{Atlanta, GA}), (43.8,\text{Boston, MA}), (4.2,\text{Las Vegas, NV}), (61.9,\text{Miami, FL}), (12.8,\text{Los Angeles, CA})\}$

Work Step by Step

In case of a one-to-one function, the inverse’s domain will be the original function’s range and the inverse’s range will be the original function’s range. The domain of the inverse function will be: $\{49.7,43.8,4.2,61.9,12.8\}$. The range of the inverse function will be: $\{\text{Atlanta, GA}, \text{Boston, MA}, \text{Las Vegas, NV}, \text{Miami, FL}, \text{Los Angeles, CA}\}$. The inverse function will create the following ordered pairs: $\{(49.7,\text{Atlanta, GA}), (43.8,\text{Boston, MA}), (4.2,\text{Las Vegas, NV}), (61.9,\text{Miami, FL}), (12.8,\text{Los Angeles, CA})\}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.