Maclaurin Series Of A Composite Function

The Maclaurin series for a function $f$ is given by $2 + 3x + x^2 + \frac{1}{3}x^3 + \cdots$ and converges to $f(x)$ for all real numbers $x$. If $g$ is the function defined by $g(x) = e^{f(x)}$, what is the coefficient of $x^2$ in the Maclaurin series for $g$?