3

Set 1: Function Notation (Advanced)

Explanation

Answer: D

PROBLEM

If f(x) = 2x + 2 and g(x) = 1x + 2, find g(f(2)).

If f(x) = 2x + 2 and g(x) = 1x + 2, find g(f(2)).

A.

6

B.

9

C.

7

D.

8

✓ Correct

Detailed Explanation

Choice D is the best answer. f(2) = 2(2) + 2 = 6. g(6) = 1(6) + 2 = 8

Why others are wrong:
A: 6 is incorrect because it does not satisfy the equation.
B: 9 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.