Let f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2...

Let `f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2))[f(x)` is not identically zero]. Then `f(4x^3-3x)+3f(x)=0` `f(4x^3-3x)=3f(x)` `f(2xsqrt(1-x^2)+2f(x)=0` `f(2xsqrt(1-x^2)=2f(x)`

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