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Omni-MATH / Let Z be the set of integers. Find all functions f:Z→Z such that xf(2f(y)−x)+y²f(2x−f(y))=(f(x)²)/(x)+f(yf(y)) for all x,y∈Z with x≠0 . · Discussion

Discussing Let Z be the set of integers. Find all functions f:Z→Z such that xf(2f(y)−x)+y²f(2x−f(y))=(f(x)²)/(x)+f(yf(y)) for all x,y∈Z with x≠0 . · Omni-MATH

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