3

Set 3: Function Notation (Advanced)

Explanation

Answer: A

PROBLEM

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

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

A.

58

✓ Correct
B.

55

C.

61

D.

57

Detailed Explanation

Choice A is the best answer. f(5) = 3(5) + 4 = 19. g(19) = 3(19) + 1 = 58

Why others are wrong:
B: 55 is incorrect because it does not satisfy the equation.
C: 61 is incorrect because it does not satisfy the equation.
D: 57 is incorrect because it does not satisfy the equation.