7

Set 1: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

If f(x) = 3x + 2 and g(x) = 3x + 5, find f(g(6)).

If f(x) = 3x + 2 and g(x) = 3x + 5, find f(g(6)).

A.

70

B.

68

C.

71

✓ Correct
D.

74

Detailed Explanation

Choice C is the best answer. g(6) = 3(6) + 5 = 23. f(23) = 3(23) + 2 = 71

Why others are wrong:
A: 70 is incorrect because it does not satisfy the equation.
B: 68 is incorrect because it does not satisfy the equation.
D: 74 is incorrect because it does not satisfy the equation.