Suppose that the functions q and r are defined as follows.

q (x) = -3x-2
r(x) =8+4
Find the following.
1. r(q(-4)

First, find q(-4):

q(-4) = -3(-4) - 2 = 12 - 2 = 10

Now, substitute q(-4) into r(x):

r(q(-4)) = r(10) = 8 + 4 = 12

Therefore, r(q(-4)) = 12.