Question

given that $f(x)=3x + 3$ and $g(x)=x^2 - 4x - 5$, find $(g \circ f)(5)$.
$(g \circ f)(5)=\square$
(simplify your answer.)

Explanation:

Step1: Calculate f(5)

$f(5) = 3(5) + 3 = 15 + 3 = 18$

Step2: Substitute into g(x)

$g(f(5)) = g(18) = 18^2 - 4(18) - 5$

Step3: Compute the result

$18^2 - 4(18) - 5 = 324 - 72 - 5 = 247$

Answer:

247