# Periodic Plus Periodic

Algebra Level 2

True or False:

Given any two periodic functions, $$\color{red}{f(x)}$$ and $$\color{blue}{g(x)}$$, the function $$\color{purple}{h(x)} = \color{red}{f(x)} + \color{blue}{g(x)}$$ will also be periodic with a period that is, at most, the product of the original two periods (the period of $$f(x)$$ times the period of $$g(x)$$).

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