Answer:
Explanation:
To find the value of f(g(-2)), we first need to substitute g(-2) for x in the equation for f(x).
g(-2) = (-2) + 7 = 5
So, f(g(-2)) = f(5)
Now we can substitute 5 for x in the equation for f(x) to find the final value:
f(x) = 3x² - 7x + 15
f(5) = 3(5)² - 7(5) + 15
f(5) = 75 - 35 + 15
f(5) = 55
So, f(g(-2)) = 55