If we wanted to, we could have written the formula for $P$ as a function of $t$ by composing the two functions: $$\begin{aligned} C \amp= f(t) = 5e^{-0.058t}\\ P \amp= g(C) = -12.5C + 172.5 \end{aligned}$$ What is the correct formula for the composite function $g(f(t))\text{?}$ $-12.5\left(5e^{-0.058t}\right)+172.5$
$5e^{-0.058(-12.5C+172.5)}$