8

Set 3: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

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

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

A.

63

B.

66

C.

65

✓ Correct
D.

62

Detailed Explanation

Choice C is the best answer. g(5) = 3(5) + 5 = 20. f(20) = 3(20) + 5 = 65

Why others are wrong:
A: 63 is incorrect because it does not satisfy the equation.
B: 66 is incorrect because it does not satisfy the equation.
D: 62 is incorrect because it does not satisfy the equation.