4

Set 4: Function Notation (Intermediate)

Explanation

Answer: D

PROBLEM

If f(x) = 1x + 1 and g(x) = 2x + 3, find f(g(6)).

If f(x) = 1x + 1 and g(x) = 2x + 3, find f(g(6)).

A.

19

B.

13

C.

18

D.

16

✓ Correct

Detailed Explanation

Choice D is the best answer. g(6) = 2(6) + 3 = 15. f(15) = 1(15) + 1 = 16

Why others are wrong:
A: 19 is incorrect because it does not satisfy the equation.
B: 13 is incorrect because it does not satisfy the equation.
C: 18 is incorrect because it does not satisfy the equation.