Function $f$ is defined by $f(x)=x^3-5x^2-14x$. Function $g$ is defined by $g(x)=f(x-4)$. The graph of $y=g(x)$ in the $xy$-plane has $x$-intercepts at $(a,0)$, $(b,0)$, and $(c,0)$, where $a$, $b$, and $c$ are distinct constants. What is the largest of these $x$-intercepts?