The functions q and r are defined as follows.
q (x) = 2x-2
r (x) = - 2x^2 +2
Find the value of q (r (-5)).
First, we need to find the value of r(-5):
r(-5) = -2(-5)^2 + 2
r(-5) = -2(25) + 2
r(-5) = -50 + 2
r(-5) = -48
Now, we can substitute r(-5) into the function q(x):
q(r(-5)) = 2(-48) - 2
q(r(-5)) = -96 - 2
q(r(-5)) = -98
Therefore, the value of q(r(-5)) is -98.