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Whether the products of two functions(f(x)+g(x)); f(x)g(x)) are odd or even if the two functions are...

Whether the products of two functions(f(x)+g(x)); f(x)g(x)) are odd or even if the two functions are both even or both odd, or if one function is odd and the other is even. Investigate algebraically, and verify numerically and using sepreadsheet.
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