Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 10 - Compositions, Inverses, and Combinations of Functions - Review Exercises and Problems for Chapter Ten - Page 424: 12

Answer

$$y=\frac{\ln \left(\frac{x}{3}\right)}{2}$$

Work Step by Step

Switching the elements of the domain and the range (in other words, the dependent and independent variables), we find that the inverse is: $$x=3e^{2y} \\ y=\frac{\ln \left(\frac{x}{3}\right)}{2}$$
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