8

Set 2: Function Notation (Intermediate)

Explanation

Answer: B

PROBLEM

If f(x) = 1x + 2 and g(x) = 2x + 3, find f(g(2)).

If f(x) = 1x + 2 and g(x) = 2x + 3, find f(g(2)).

A.

12

B.

9

✓ Correct
C.

10

D.

8

Detailed Explanation

Choice B is the best answer. g(2) = 2(2) + 3 = 7. f(7) = 1(7) + 2 = 9

Why others are wrong:
A: 12 is incorrect because it does not satisfy the equation.
C: 10 is incorrect because it does not satisfy the equation.
D: 8 is incorrect because it does not satisfy the equation.