Question

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

Answer 1

`p(q(x)) = 2x^2 - 16x + 30`

Explanation:

The notation (p•q)(x) means p(q(x)) or p of q of x. To find it, substitute q(x) into p(x) and simplify:

`p(q(x)) = 2(x-3)^2 - 4(x-3)\\p(q(x))=2(x^2-6x+9) - 4x + 12\\p(q(x)) = 2x^2-12x+18-4x+12\\p(q(x)) = 2x^2 - 16x + 30`