Question

question
given the definitions of $f(x)$ and $g(x)$ below, find the value of $g(f(-5))$.
$f(x) = x + 6$
$g(x) = 2x^2 + 3x + 2$
answer attempt 1 out of 3

Explanation:

Step1: Calculate $f(-5)$

$f(-5) = -5 + 6 = 1$

Step2: Substitute into $g(x)$

$g(f(-5)) = g(1) = 2(1)^2 + 3(1) + 2$

Step3: Compute final value

$g(1) = 2 + 3 + 2 = 1$

Answer:

1