2

Set 3: Function Notation (Advanced)

Explanation

Answer: A

PROBLEM

If f(x) = 3x + 3 and g(x) = 3x + 3, find f(g(7)).

If f(x) = 3x + 3 and g(x) = 3x + 3, find f(g(7)).

A.

75

✓ Correct
B.

74

C.

73

D.

77

Detailed Explanation

Choice A is the best answer. g(7) = 3(7) + 3 = 24. f(24) = 3(24) + 3 = 75

Why others are wrong:
B: 74 is incorrect because it does not satisfy the equation.
C: 73 is incorrect because it does not satisfy the equation.
D: 77 is incorrect because it does not satisfy the equation.