Question

Suppose that the functions p and q are defined as follows.p (x) =5x- 4a (x)=-2x-5Find the following.

Answer 1

The Solution:

Given:

Required:

Step 1:

Substitute p(-3) for x in q(x).

(a):

$p(-3)=5(-3)-4=-15-4=-19$$q(p(-3))=q(-19)=-2(-19)-5=38-5=33$

(b):

$\begin{gathered} \text{ }q(-3)=-2(-3)-5=6-5=1 \\ \text{ Substitute p\lparen q\lparen-3\rparen\rparen}=p(1)=p(1)=5(1)-4=1 \end{gathered}$

Answer