Answer
$f(x)=(\frac{1}{6})^x$
Work Step by Step
For $f(x)=a^x$ to contain point $(-2,36)$, we have $f(-2)=a^{-2}=36$ which gives $a=\frac{1}{6}$, thus $f(x)=(\frac{1}{6})^x$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises - Page 434: 120
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