Question

Given the following functions f(x) and g(x), solve (f ⋅ g)(2) and select the correct answer below: f(x) = 2x^2 − 10 g(x) = x + 9

Answer 1

(f * g)(2) =
(2x^2 - 10)(x + 9) First step is to FOIL the binomials
2x^3 + 18x^2 - 10x - 90 Next, Plug 2 in for each 'x'
2(2)^3 + 18(2)^2 - 10(2) - 90 Simlify
2(8) + 18(4) - 20 - 90
16 + 72 - 20 - 90 = -22