Answer
$f(t(p)) =3 e^{4 p^{2}}$ and $f(t(2)) =3 e^{16}$
Work Step by Step
Given $$
f(t)=3 e^{t} ; t(p)=4 p^{2}
$$
Since $f(t(p))$ is given by
\begin{align*}
f(t(p))&=3 e^{p(t)} \\
&=3 e^{4 p^{2}}
\end{align*}
and $f(t(2)) =3 e^{16}$
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 1 - Ingredients of Change: Functions and Limits - 1.7 Activities - Page 74: 25
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