Let \( f(x)=[x]= \) the greatest integer less than or equal to \( x...

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Let \( f(x)=[x]= \) the greatest integer less than or equal to \( x \) and \( g(x)=x-[x] \). Then for any two real numbers \( x \) and \( y \)
\( \mathrm{P} \)
(a) \( f(x+y)=f(x)+f(y) \)
(b) \( g(x+y)=g(x)+g(y) \)
(c) \( f(x+y)=f(x)+f\{y+g(x)\} \) (d) none of these
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