8

Set 4: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

If f(x) = 3x + 4 and g(x) = 4x + 1, find f(g(7)).

If f(x) = 3x + 4 and g(x) = 4x + 1, find f(g(7)).

A.

92

B.

89

C.

91

✓ Correct
D.

94

Detailed Explanation

Choice C is the best answer. g(7) = 4(7) + 1 = 29. f(29) = 3(29) + 4 = 91

Why others are wrong:
A: 92 is incorrect because it does not satisfy the equation.
B: 89 is incorrect because it does not satisfy the equation.
D: 94 is incorrect because it does not satisfy the equation.