Question

Answer this composite function:

Answer 1

Explanation:

To find (h o g)(5), we need to first find g(5), and then evaluate h at that value.

We are given that g(x) = 4x + 4, so we can find g(5) by substituting x = 5:

g(5) = 4(5) + 4 = 24

Now we evaluate h at g(5):

h(g(5)) = h(24)

We know that h(x) = -x + 2, so we can evaluate h(24) by substituting x = 24:

h(g(5)) = h(24) = -(24) + 2 = -22

Therefore, (h o g)(5) = -22.

Answer 2

-21

Explanation:

given

To evaluate (h.g(5)), we first need to find g(5) and then apply h to the result.

g(x) = 4x + 3, so g(5) = 4(5) + 3 = 23.

Now we apply h to g(5):

h(g(5)) = h(23) = -(23) + 2 = -21

Therefore, (h.g(5)) = -21.