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Omni-MATH / Find, with proof, all functions f: mathbbR backslash0 rightarrow mathbbR such that f(x)²−f(y)f(z)=x(x+y+z)(f(x)+f(y)+f(z)) for all real x,y,z such that xyz=1. · Discussion

Discussing Find, with proof, all functions f: mathbb{R} backslash{0} rightarrow mathbb{R} such that f(x)²−f(y)f(z)=x(x+y+z)(f(x)+f(y)+f(z)) for all real x,y,z such that xyz=1. · Omni-MATH

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