9
Answer: CSet 1: Function Notation (Intermediate)
Explanation
PROBLEM
If f(x) = 2x + 5 and g(x) = 4x + 3, find f(g(5)).
If f(x) = 2x + 5 and g(x) = 4x + 3, find f(g(5)).
A.
53
B.
50
C.✓ Correct
51
D.
54
Detailed Explanation
Choice C is the best answer. g(5) = 4(5) + 3 = 23. f(23) = 2(23) + 5 = 51
Why others are wrong:
A: 53 is incorrect because it does not satisfy the equation.
B: 50 is incorrect because it does not satisfy the equation.
D: 54 is incorrect because it does not satisfy the equation.