The functions $f$ and $g$ are defined and differentiable on the set of real numbers and satisfy
$$\begin{aligned}
& \int_{1}^{2} f^{\prime}(3x)\, dx = 4 \\
& \int f(2x)\, dx = g(x) + C, \quad (C \text{ constant})
\end{aligned}$$
If $f(3) = 5$, what is the value of the derivative $g^{\prime}(3)$?
A) 1
B) 5
C) 9
D) 13
E) 17