2

Set 4: Function Notation (Intermediate)

Explanation

Answer: A

PROBLEM

If f(x) = 3x + 2 and g(x) = 3x + 5, find f(g(2)).

If f(x) = 3x + 2 and g(x) = 3x + 5, find f(g(2)).

A.

35

✓ Correct
B.

36

C.

37

D.

33

Detailed Explanation

Choice A is the best answer. g(2) = 3(2) + 5 = 11. f(11) = 3(11) + 2 = 35

Why others are wrong:
B: 36 is incorrect because it does not satisfy the equation.
C: 37 is incorrect because it does not satisfy the equation.
D: 33 is incorrect because it does not satisfy the equation.