To find the quotient function and evaluate it for the functions $f(x) = x^2 - 5x - 24$ and $g(x) = x + 3$: Step 1 — Find $(f/g)(x)$. Apply the division definition: $(f/g)(x) = \frac{f(x)}{g(x)}$. Substitute the expressions to get $\frac{x^2 - 5x - 24}{x + 3}$. Perform the polynomial division to divide the numerator by the denominator. The result is $x - 8$. Therefore, $(f/g)(x) = x - 8$. Step 2 — Evaluate $(f/g)(-3)$. Substitute $-3$ into the resulting quotient function: $(f/g)(-3) = (-3) - 8 = -11$.