4
Answer: CSet 3: Function Notation (Advanced)
Explanation
PROBLEM
If f(x) = 3x + 3 and g(x) = 4x + 5, find f(g(4)).
If f(x) = 3x + 3 and g(x) = 4x + 5, find f(g(4)).
A.
68
B.
67
C.✓ Correct
66
D.
69
Detailed Explanation
Choice C is the best answer. g(4) = 4(4) + 5 = 21. f(21) = 3(21) + 3 = 66
Why others are wrong:
A: 68 is incorrect because it does not satisfy the equation.
B: 67 is incorrect because it does not satisfy the equation.
D: 69 is incorrect because it does not satisfy the equation.