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If we have two functions $f:\mathbb{R} \to \mathbb{R}$ and $g :\mathbb{R} \to \mathbb{R}$ such that the period of $f$ is 7 and that of $g$ is 11, then the period of $F\left ( x \right ) = f( x)g(\frac{x}{5}) + g(x)f(\frac{x}{3})$ is ?

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    @ZevChonoles See, I know that probably the product of two functions probably has a period equal to the L.C.M. of their individual periods. Same for the sum. The only problem was verifying the procedure and the answer.2012-12-22

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