6

Set 3: Function Notation (Advanced)

Explanation

Answer: A

PROBLEM

If f(x) = 3x + 1 and g(x) = 3x + 1, find g(f(3)).

If f(x) = 3x + 1 and g(x) = 3x + 1, find g(f(3)).

A.

31

✓ Correct
B.

29

C.

30

D.

28

Detailed Explanation

Choice A is the best answer. f(3) = 3(3) + 1 = 10. g(10) = 3(10) + 1 = 31

Why others are wrong:
B: 29 is incorrect because it does not satisfy the equation.
C: 30 is incorrect because it does not satisfy the equation.
D: 28 is incorrect because it does not satisfy the equation.