To find (qr)(-5), substitute -5 for x in qr(x) = q(r(x)). (qr)(-5) = 51. To find (rq)(-5), substitute -5 for x in rq(x) = r(q(x)). (rq)(-5) = 74.
Step-by-step explanation:
To find (qr)(-5), we need to substitute -5 for x in the function qr(x) = q(r(x)). Let's start by evaluating r(-5):
r(-5) = 2(-5)^2 + 2 = 2(25) + 2 = 50 + 2 = 52.
Now, substitute this value into q(x):
q(52) = 52 - 1 = 51.
So, (qr)(-5) = 51.
To find (rq)(-5), we need to substitute -5 for x in the function rq(x) = r(q(x)). Let's start by evaluating q(-5):
q(-5) = -5 - 1 = -6.
Now, substitute this value into r(x):
r(-6) = 2(-6)^2 + 2 = 2(36) + 2 = 72 + 2 = 74.
So, (rq)(-5) = 74.