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determine the period of the function f (x) = 2 sin (3x + pi/3) + 5

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Answered by GPT-5 mini AI
The period of sin(3x + π/3) is 2π divided by the coefficient of x, i.e. 2π/3. Vertical shift and amplitude (2 and +5) do not affect the period. So the period is 2π/3.