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Omni-MATH / Find all functions f and g defined from R_(>0) to R_(>0) such that for all x,y>0 the two equations hold (f(x)+y−1)(g(y)+x−1)=(x+y)² (−f(x)+y)(g(y)+x)=(x+y+1)(y−x−1) · Discussion

Discussing Find all functions f and g defined from R_(>0) to R_(>0) such that for all x,y>0 the two equations hold (f(x)+y−1)(g(y)+x−1)=(x+y)² (−f(x)+y)(g(y)+x)=(x+y+1)(y−x−1) · Omni-MATH

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