7
Answer: CSet 3: Function Notation (Advanced)
Explanation
PROBLEM
If f(x) = 3x + 2 and g(x) = 2x + 3, find f(g(3)).
If f(x) = 3x + 2 and g(x) = 2x + 3, find f(g(3)).
A.
27
B.
31
C.✓ Correct
29
D.
26
Detailed Explanation
Choice C is the best answer. g(3) = 2(3) + 3 = 9. f(9) = 3(9) + 2 = 29
Why others are wrong:
A: 27 is incorrect because it does not satisfy the equation.
B: 31 is incorrect because it does not satisfy the equation.
D: 26 is incorrect because it does not satisfy the equation.