Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).

Answer:
-11
Step-by-step explanation:
f(x) = 5x + 11
g(x) = x^2 + 4x - 11
g(f(-3)) = ?
f(-3) = 5(-3) + 11
= -15 + 11 = -4
g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11
= 16 - 16 - 11 = -11