Question: Function (Please help me)

January 06 2013 yangtheary 60
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Let function f:\mathbb{R}\to\mathbb{R} so that f(x+y)=f(x)f(a-y)+f(y)f(a-x),\forall x,y\in\mathbb{R} and a is constant.Find f(\sqrt[2013]{2013})

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