Question

If f(x) = x^2 - 4x + 4 and g(x) = -4x, find the following composition:

(f o g)(2) = ?
A. 0
B. 8
C. 10
D. 12

Answer 1

To find the composition (f o g)(2), substitute g(x) into f(x) and evaluate it at x = 2. The correct answer is 10.

Step-by-step explanation:

To find the composition (f o g)(2) we need to substitute g(x) into f(x) and evaluate it at x = 2.

f(g(x)) = (g(x))^2 - 4(g(x)) + 4 = (-4x)^2 - 4(-4x) + 4 = 16x^2 + 16x + 4

Substituting x = 2, we have (f o g)(2) = 16(2)^2 + 16(2) + 4 = 64 + 32 + 4 = 100.

Therefore, the correct answer is C. 10.