1

Set 3: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

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

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

A.

10

B.

14

C.

11

✓ Correct
D.

13

Detailed Explanation

Choice C is the best answer. g(2) = 2(2) + 1 = 5. f(5) = 2(5) + 1 = 11

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
B: 14 is incorrect because it does not satisfy the equation.
D: 13 is incorrect because it does not satisfy the equation.