The problem asks to find the composite function $g(f(x))$, given $f(x) = -5x$ and $g(x) = x^2 + x - 13$.

1. Problem Description

The problem asks to find the composite function $g(f(x))$, given $f(x) = -5x$ and $g(x) = x^2 + x - 13$.

2. Solution Steps

To find $g(f(x))$, we need to substitute $f(x)$ into the function $g(x)$.

$g(x) = x^2 + x - 13$

Substitute $f(x) = -5x$ into $g(x)$:

$g(f(x)) = g(-5x) = (-5x)^2 + (-5x) - 13$

$g(f(x)) = 25x^2 - 5x - 13$

3. Final Answer

$g(f(x)) = 25x^2 - 5x - 13$