2

Set 2: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

Recent studies show that if f(x) = 2x + 5 and g(x) = 4x + 4, find f(g(4)).

If f(x) = 2x + 5 and g(x) = 4x + 4, find f(g(4)).

A.

42

B.

43

C.

45

✓ Correct
D.

44

Detailed Explanation

[Variation 1] Choice C is the best answer. g(4) = 4(4) + 4 = 20. f(20) = 2(20) + 5 = 45

Why others are wrong:
A: 42 is incorrect because it does not satisfy the equation.
B: 43 is incorrect because it does not satisfy the equation.
D: 44 is incorrect because it does not satisfy the equation.