Answer:
(p•q)(x) = 2x² - 16x + 30
Step-by-step explanation:
p(x) =2x² - 4x
q(x) = x - 3
In order to find (p•q)(x) substitute q(x) into p(x) that's replace every x in p(x) by q(x)
That's
(p•q)(x) = 2( x - 3)² - 4( x - 3)
Expand the terms
That's
(p•q)(x) = 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
Group like terms
(p•q)(x) = 2x² - 12x - 4x + 18 + 12
Simplify
We have the final answer as
(p•q)(x) = 2x² - 16x + 30
Hope this helps you
