Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
