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4

Set 2: Function Notation (Advanced)

Explanation

Answer: D

PROBLEM

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

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

A.

12

B.

9

C.

14

D.

11

✓ Correct

Detailed Explanation

Choice D is the best answer. f(2) = 3(2) + 2 = 8. g(8) = 1(8) + 3 = 11

Why others are wrong:
A: 12 is incorrect because it does not satisfy the equation.
B: 9 is incorrect because it does not satisfy the equation.
C: 14 is incorrect because it does not satisfy the equation.
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