Periodic Plus Periodic

Algebra Level 2

True or False:

Given any two periodic functions, f(x)\color{#D61F06}{f(x)} and g(x)\color{#3D99F6}{g(x)}, the function h(x)=f(x)+g(x)\color{#69047E}{h(x)} = \color{#D61F06}{f(x)} + \color{#3D99F6}{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)f(x) times the period of g(x)g(x)).

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