Question

Suppose that functions p and q are defined as follows

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

find the following :
(q•p) (-3)=
(p•q) (-3)

Answer 1

To find (q•p)(-3), you can first find p(-3) and q(p(-3)).

p(-3) = 2(-3) = -6
q(p(-3)) = q(-6) = (-6)^2 - 2 = 36 - 2 = 34

Therefore, (q•p)(-3) = 34.

To find (p•q)(-3), you can first find q(-3) and p(q(-3)).

q(-3) = (-3)^2 - 2 = 9 - 2 = 7
p(q(-3)) = p(7) = 2(7) = 14

Therefore, (p•q)(-3) = 14.

Therefore, (q•p)(-3) = 34 and (p•q)(-3) = 14.