Given that f(x) = 3x - 5 and g(x) = x² + 2, what is the value of gf(2)?

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Question

Given that f(x) = 3x - 5 and g(x) = x² + 2, what is the value of gf(2)?

Accepted Answer

11 — Award 1 mark for correct composite function evaluation. First find f(2) = 3(2) - 5 = 1. Then g(1) = (1)² + 2 = 3. Wait, let me recalculate: f(2) = 6 - 5 = 1, g(1) = 1 + 2 = 3. Actually the answer should be 3. Let me verify the options match. Correction: gf(2) means g(f(2)). f(2) = 1, g(1) = 3. A is correct. Adjusting: ✓ Answer: 3. A is correct — f(2) = 1, then g(1) = 3. B is incorrect — this results from calculating fg(2) instead. C is incorrect — this adds f(2) and g(2) separately. D is incorrect — this squares the sum incorrectly.

Answer

11

Answer

3

Answer

23

Answer

43

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