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Omni-MATH / Let R_(>0) be the set of all positive real numbers. Find all functions f:R_(>0)→R_(>0) such that for all x,y∈R_(>0) we have f(x)=f(f(f(x))+y)+f(xf(y))f(x+y). · Discussion

Discussing Let R_(>0) be the set of all positive real numbers. Find all functions f:R_(>0)→R_(>0) such that for all x,y∈R_(>0) we have f(x)=f(f(f(x))+y)+f(xf(y))f(x+y). · Omni-MATH

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