To find the quotient function and evaluate it for the functions $f(x) = x^2 - 5x - 14$ and $g(x) = x + 2$, follow two steps: Step 1 — Find $(f/g)(x)$. Apply the definition of division for polynomial functions: $(f/g)(x) = \frac{f(x)}{g(x)}$. Substitute the given polynomials to form the rational expression $\frac{x^2 - 5x - 14}{x + 2}$. Use polynomial division to divide the numerator by the denominator. Dividing $x^2 - 5x - 14$ by $x + 2$ yields $x - 7$. Therefore, $(f/g)(x) = x - 7$. Step 2 — Evaluate $(f/g)(-4)$. Substitute the specific value $-4$ for $x$ in the resulting quotient function: $(f/g)(-4) = (-4) - 7 = -11$.