Question

question
given the definitions of $f(x)$ and $g(x)$ below, find the value of $(f \circ g)(-4)$.
$f(x) = -5x + 12$
$g(x) = x^2 + 6x + 1$

Explanation:

Step1: Calculate $g(-4)$

$g(-4) = (-4)^2 + 6(-4) + 1 = 16 - 24 + 1 = -7$

Step2: Substitute into $f(x)$

$f(g(-4)) = f(-7) = -5(-7) + 12 = 35 + 12$

Answer:

47