Answer:
g(h(9)) is equal to -65.
Explanation:
To find g(h(9)), we need to first evaluate h(9) and then substitute the result into g(x).
Given that h(x) = -2x, we can find h(9) by substituting 9 into the expression for h(x):
h(9) = -2(9) = -18
Now that we know h(9) is -18, we can substitute this value into g(x) to find g(h(9)):
g(h(9)) = g(-18)
Using the expression for g(x) which is g(x) = 4x + 7, we substitute -18 for x:
g(-18) = 4(-18) + 7
Calculating this expression:
g(-18) = -72 + 7
g(-18) = -65