5

Set 1: Function Notation (Intermediate)

Explanation

Answer: A

PROBLEM

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.

45

✓ Correct
B.

48

C.

43

D.

44

Detailed Explanation

Choice A is the best answer. g(4) = 4(4) + 4 = 20. f(20) = 2(20) + 5 = 45

Why others are wrong:
B: 48 is incorrect because it does not satisfy the equation.
C: 43 is incorrect because it does not satisfy the equation.
D: 44 is incorrect because it does not satisfy the equation.