Answer:
f(g(-2)) = 35
Step-by-step explanation:
When something is in parentheses, it should be treated as an "x" value. So first, plug (-2) into the g(x) function.
g(x) = -x - 6
g(-2) = -(-2) - 6
g(-2) = 2 - 6
g(-2) = -4
Secondly, plug the answer to g(-2) into the f(x) function.
f(x) = x² - 4x + 3
f(-4) = (-4)² - 4(-4) + 3
f(-4) = 16 + 16 + 3
f(-4) = 35
Therefore, f(g(-2)) = 35.
