7

Set 4: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

If f(x) = 3x + 4 and g(x) = 3x + 3, find f(g(6)).

If f(x) = 3x + 4 and g(x) = 3x + 3, find f(g(6)).

A.

69

B.

64

C.

67

✓ Correct
D.

66

Detailed Explanation

Choice C is the best answer. g(6) = 3(6) + 3 = 21. f(21) = 3(21) + 4 = 67

Why others are wrong:
A: 69 is incorrect because it does not satisfy the equation.
B: 64 is incorrect because it does not satisfy the equation.
D: 66 is incorrect because it does not satisfy the equation.