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

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

Chapter 4 - Exponential Functions - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 145: 3

Answer

$f(x)=\frac{1}{4}(9^x)$

Work Step by Step

Since $(a^b)^c=a^{bc}$, it can be said that $3^{2x}=(3^2)^x=9^x$. Therefore, the function becomes exponential with some simplification. $$f(x)=\frac{1}{4}(9^x)$$
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