This is a challenging problem !!
Solution : ( first try it , if not then you can read )
Find all functions such that
for all x,y
For any positive real numbers , we have that
and by Cauchy in positive reals, then for all
Now it’s easy to see that , then for all positive real numbers
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