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FInd all f:R→R in such a way that for each x,y the real number satisfying
\(f(x^2+y^2)=xf(x)+yf(y)\)

 Mar 14, 2021
edited by Guest  Mar 14, 2021
 #1
avatar+32062 
+3

f(z) = z

f(z) = -z

where z is in  R.

Both of these work.

 Mar 14, 2021
edited by Alan  Mar 14, 2021
 #2
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Thanks

 Mar 14, 2021

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