Answer :
Answer:
(P•q)(-3)=-32
(q•P)(-3)=-32
Step-by-step explanation:
The functions are :
[tex]p(x) = 3x + 5[/tex]
[tex]q(x) = - 2x + 2[/tex]
We want to evaluate (p*g)(x) at x=-3.
[tex](p \cdot \: q)(x) = (3x + 5)( - 2x + 2)[/tex]
When we put x=-3, we get:
[tex](p \cdot \: q)( - 3) = (3 \times - 3 + 5)( - 2 \times - 3 + 2)[/tex]
[tex](p \cdot \: q)( - 3) = ( - 9 + 5)( 6 + 2)[/tex]
[tex](p \cdot \: q)( - 3) = ( - 4)( 8) = - 32[/tex]
Also,
[tex](q \cdot p)( x) = ( - 2x + 2)(3x + 5)[/tex]
[tex](q \cdot p)( - 3) = ( - 2 \times - 3+ 2)(3 \times - 3+ 5)[/tex]
[tex](q \cdot p)( - 3) = ( 6+ 2)( - 9+ 5)[/tex]
[tex](q \cdot p)( - 3) = ( 8)( - 4) = - 32[/tex]