3

Set 2: Function Notation (Advanced)

Explanation

Answer: C

PROBLEM

If f(x) = 1x + 4 and g(x) = 3x + 5, find g(f(5)).

If f(x) = 1x + 4 and g(x) = 3x + 5, find g(f(5)).

A.

30

B.

29

C.

32

✓ Correct
D.

34

Detailed Explanation

Choice C is the best answer. f(5) = 1(5) + 4 = 9. g(9) = 3(9) + 5 = 32

Why others are wrong:
A: 30 is incorrect because it does not satisfy the equation.
B: 29 is incorrect because it does not satisfy the equation.
D: 34 is incorrect because it does not satisfy the equation.