Question

H(x)=4x+5
g(x)=-2^2+2x
Find (h*g)(5)

Answer 1

h*g)(5) = h(g(5)) = 29.

Explanation:

To find (h*g)(5), we first need to calculate g(5) and h(g(5)), then multiply the two.First, we need to evaluate g(5):g(5) = -2^2 + 2(5) = -4 + 10 = 6Next, we need to evaluate h(g(5)):h(g(5)) = h(6) = 4(6) + 5 = 24 + 5 = 29Therefore, (h*g)(5) = h(g(5)) = 29.