6

Set 3: Function Notation (Intermediate)

Explanation

Answer: C

PROBLEM

If f(x) = 1x + 3 and g(x) = 4x + 4, find f(g(6)).

If f(x) = 1x + 3 and g(x) = 4x + 4, find f(g(6)).

A.

30

B.

34

C.

31

✓ Correct
D.

32

Detailed Explanation

Choice C is the best answer. g(6) = 4(6) + 4 = 28. f(28) = 1(28) + 3 = 31

Why others are wrong:
A: 30 is incorrect because it does not satisfy the equation.
B: 34 is incorrect because it does not satisfy the equation.
D: 32 is incorrect because it does not satisfy the equation.