187k views
5 votes
Suppose that the functions p and q are defined as follows.

p(x) = -x - 1
q(x) = 2x² - 2
Find the following.
(q º p)(-4) =
(q º p)(-4) =

User Dreamwagon
by
8.7k points

1 Answer

2 votes
p(x) = -x - 1
q(x) = 2x^2 - 2

(q o p)(-4) = 2(-x - 1)^2 - 2
(q o p)(-4) = 2(-x^2 + x + x + 1) - 2
(q o p)(-4) = 2(-x^2 + 2x + 1) - 2
(q o p)(-4) = -2x^2 + 4x + 2 - 2
(q o p)(-4) = -2x^2 + 4x
User Cygri
by
8.8k points