3

Set 3: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

If f(x) = 1x + 5 and g(x) = 4x + 3, find f(g(3)).

If f(x) = 1x + 5 and g(x) = 4x + 3, find f(g(3)).

A.

23

B.

17

C.

20

✓ Correct
D.

22

Detailed Explanation

Choice C is the best answer. g(3) = 4(3) + 3 = 15. f(15) = 1(15) + 5 = 20

Why others are wrong:
A: 23 is incorrect because it does not satisfy the equation.
B: 17 is incorrect because it does not satisfy the equation.
D: 22 is incorrect because it does not satisfy the equation.