If \( f(x) \) and \( g(x) \) are two functions of \( x \) such that...

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If \( f(x) \) and \( g(x) \) are two functions of \( x \) such that \( f(x)+g(x)=e^{x} \) and \( g(x)-g(x)=e^{-x} \) then
\( \mathrm{P} \)
(a) \( f(x) \) is an odd function
(b) \( g(x) \) is an odd function
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(c) \( f(x) \) is an even function
(d) \( g(x) \) is an even function
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