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(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28