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Problem of the day 3

Nice problem !

Functional Equations !

Determine all functions ƒ satisfying  the functional relations

ƒ(x) + ƒ(1/(1-x)) =( 2(1-2x)/(x(1-x))

where x is a real number x ≠ 0 , x ≠ 1

Post your answer in comments with whole solution 🙂
person who give best answer of problem of the day more than 4 times will be awarded a book