Answer
$
h(x)=3\left(5\right)^x
$
Work Step by Step
We are given $h(0)=3$, so $a=3$. Then $h(x)=ab^x=3 b^x$, find $b$ from
$$
\begin{aligned}
3b^1& =h(1) \\
3b & =15\\
b & =5
\end{aligned}
$$ Hence $$
h(x)=3\left(5\right)^x
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - Review Exercises and Problems for Chapter Four - Page 177: 19
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