=====================================================
Explanation:
Let's evaluate the inner function g(-9) first.
Plug x = -9 into g(x). Simplify.
g(x) = -2x-14
g(-9) = -2*(-9) - 14
g(-9) = 18 - 14
g(-9) = 4
This means f(g(-9)) updates to f(4) because we can replace g(-9) with 4.
We'll repeat the same idea as above, but now pick on f(x). Plug in x = 4.
f(x) = x^2 - 6x - 9
f(4) = 4^2 - 6(4) - 9
f(4) = 16 - 24 - 9
f(4) = -8 - 9
f(4) = -17
Therefore, f(g(-9)) = -17