2
Answer: CSet 2: Function Notation (Intermediate)
Explanation
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.✓ Correct
45
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.