Question

If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p*q) (x)

A. 2x2 – 4x + 12
B. 2x2 – 16x + 18
C. 2x2 – 16x + 30
D. 2x2 – 16x + 15

Answer 1

Hello:
(poq)(x) = p(q(x))=  p(x-3) = 2(x-3)²-4(x-3) = 2(x²-6x+9)-4(x-3)
(poq)(x) = 2x²-12x+18-4x+12
(poq)(x) = 2x²-16x+30... (answer : C )