This is a challenging problem !!
Solution : ( first try it , if not then you can read )
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
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