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

Answer 1

The answer is actually 96.

Explanation:

The answe above says it is 28, but I took the test. 28 is not one of the coices. But 98 is the correct answer for those wondering.

Answer 2

Given:
f(x) = 4x² + 12
g(x) = x - 1

Therefore
(f . g)(x) = 4(x - 1)² + 12
= 4(x² - 2x + 1) + 12
= 4x² - 8x + 16

(f . g)(3) = 4*9 - 8*3 + 16 = 28

Answer: 28