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If f:R-{-1}toR and f is differentiable f...

If `f:R-{-1}toR and f` is differentiable function satisfies:
`f((x)+f(y)+xf(y))=y+f(x)+yf(x)AAx,`
`yinR-{_1}` Find f(x).

Text Solution

Verified by Experts

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