9

Set 3: Function Notation (Intermediate)

Explanation

Answer: B

PROBLEM

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

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

A.

81

B.

80

✓ Correct
C.

83

D.

82

Detailed Explanation

Choice B is the best answer. g(7) = 3(7) + 4 = 25. f(25) = 3(25) + 5 = 80

Why others are wrong:
A: 81 is incorrect because it does not satisfy the equation.
C: 83 is incorrect because it does not satisfy the equation.
D: 82 is incorrect because it does not satisfy the equation.