If p (x) = 2x^2-4 and q (x) = x-3, what is (poq) (x)

2x^2 - 12x+14

Step-by-step explanation:

(poq) (x) =

p (q (x))

Substitute q (x) in for x in the function p (x)

p (x) = 2x^2-4

p (q (x)) = 2 * q (x) ^2-4

= 2 (x-3) ^2 - 4

FOIL

= 2 ((x-3) (x-3) - 4

=2 (x^2 - 3x-3x+9) - 4

=2 (x^2 - 6x+9) - 4

Distribute

=2x^2 - 12x + 18 - 4

Combine like terms

=2x^2 - 12x+14