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If f : R-{-1}toand f is differenftiable ...

If `f : R-{-1}toand f` is differenftiable function which satisfies :
`f{x+f(y)+xf(y))=y+f(x)+yf(x)AA x,yinR-{-1},` then find the value of 2010[+f(2009)].

Text Solution

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The correct Answer is:
`f(x)=(-x)/(1+x)`
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