the function f(x) = sin pi over 2 times x has period 4 and the function g(x) = cos pi over 3 times x has period 6. is the function h(x)= f(x) + g(x) periodic? if so what is the period? please help!!

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Suppose function f has period 4 and function g has period 6 and put h = f+g. Consider the relation between h(x+12) and h(x).