Suppose that the functions q and r are defined as follows. q(x)= -2x-1, r(x)=2x^2+2

Question

(q o r) (5)

(r o q) (5)

Answer 1

We are given the functions:

q(x) = -2x - 1

r(x) = 2x^2 + 2

To find (q o r)(5), we first need to find r(5):

r(5) = 2(5)^2 + 2 = 52

Next, we use this value to find (q o r)(5):

(q o r)(5) = q(r(5)) = q(52) = -2(52) - 1 = -105

Therefore, (q o r)(5) = -105.

To find (r o q)(5), we first need to find q(5):

q(5) = -2(5) - 1 = -11

Next, we use this value to find (r o q)(5):

(r o q)(5) = r(q(5)) = r(-11) = 2(-11)^2 + 2 = 486

Therefore, (r o q)(5) = 486.