7

Set 2: Function Notation (Intermediate)

Explanation

Answer: D

PROBLEM

If f(x) = 3x + 5 and g(x) = 4x + 3, find f(g(7)).

If f(x) = 3x + 5 and g(x) = 4x + 3, find f(g(7)).

A.

95

B.

99

C.

100

D.

98

✓ Correct

Detailed Explanation

Choice D is the best answer. g(7) = 4(7) + 3 = 31. f(31) = 3(31) + 5 = 98

Why others are wrong:
A: 95 is incorrect because it does not satisfy the equation.
B: 99 is incorrect because it does not satisfy the equation.
C: 100 is incorrect because it does not satisfy the equation.