4

Set 1: Function Notation (Advanced)

Explanation

Answer: A

PROBLEM

If f(x) = 2x + 1 and g(x) = 3x + 1, find g(f(2)).

If f(x) = 2x + 1 and g(x) = 3x + 1, find g(f(2)).

A.

16

✓ Correct
B.

13

C.

14

D.

18

Detailed Explanation

Choice A is the best answer. f(2) = 2(2) + 1 = 5. g(5) = 3(5) + 1 = 16

Why others are wrong:
B: 13 is incorrect because it does not satisfy the equation.
C: 14 is incorrect because it does not satisfy the equation.
D: 18 is incorrect because it does not satisfy the equation.