Question

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:
f(x) = 4x2 + 12
g(x) = x − 1

A) 47
B) −47
C) 96
D) -96

Answer 1

(f * g)
(4x^2 + 12)(x - 1) = x(4x^2 + 12) - 1(4x^2 + 12) = 4x^3 + 12x - 4x^2 - 12 =
4x^3 - 4x^2 + 12x - 12

(f*g)(3) = 4(3^3) - 4(3^2) + 12(3) - 12 = 4(27) -4(9) + 36 - 12 =
108 - 36 + 36 - 12 =
96 <===

Answer 2

The answer is C. I took the test, and it is correct.