If f(x) and g(x) are respectively an even and odd functions, then the function f(x) + g(x) is
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let f (x) be the even function and its value is any odd number like 6
and g(x) be the odd function and its value is any odd number like 3
so
when we add f(x) and g(x) we have
6+3 = 9 ( which is a odd number )
so,
f(x) + g(x) = odd function
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