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Omni-MATH / Find all functions f: mathbb R to mathbb R such that for any x,y in mathbb R, the multiset (f(xf(y)+1),f(yf(x)−1) is identical to the multiset xf(f(y))+1,yf(f(x))−1. [i]Note:[/… · Discussion
Discussing Find all functions f: mathbb R to mathbb R such that for any x,y in mathbb R, the multiset {(f(xf(y)+1),f(yf(x)−1)} is identical to the multiset {xf(f(y))+1,yf(f(x))−1}. [i]Note:[/… · Omni-MATH
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