5
Answer: CSet 4: Function Notation (Intermediate)
Explanation
PROBLEM
If f(x) = 2x + 5 and g(x) = 4x + 3, find f(g(7)).
If f(x) = 2x + 5 and g(x) = 4x + 3, find f(g(7)).
A.
68
B.
64
C.✓ Correct
67
D.
70
Detailed Explanation
Choice C is the best answer. g(7) = 4(7) + 3 = 31. f(31) = 2(31) + 5 = 67
Why others are wrong:
A: 68 is incorrect because it does not satisfy the equation.
B: 64 is incorrect because it does not satisfy the equation.
D: 70 is incorrect because it does not satisfy the equation.