7

Set 3: Function Notation (Advanced)

Explanation

Answer: C

PROBLEM

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

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

A.

27

B.

31

C.

29

✓ Correct
D.

26

Detailed Explanation

Choice C is the best answer. g(3) = 2(3) + 3 = 9. f(9) = 3(9) + 2 = 29

Why others are wrong:
A: 27 is incorrect because it does not satisfy the equation.
B: 31 is incorrect because it does not satisfy the equation.
D: 26 is incorrect because it does not satisfy the equation.