g(x)=-x^2-3x+7

H(x)=-4x
Find g(h(x))

To find g(h(x)), we first need to substitute h(x) into g(x):

g(h(x)) = -(-4x)^2 - 3(-4x) + 7
g(h(x)) = -16x^2 + 12x + 7

Therefore, g(h(x)) = -16x^2 + 12x + 7.