f-x-f-y-f-x-f-y-x-y-R-f-R-R-f-x-

Question Number 1862 by 123456 last updated on 17/Oct/15

f [x - f (y)] = f (x) - f (y), \forall (x, y) \in R

f : R \to R

f (x) = ?

Answered by prakash jain last updated on 18/Oct/15

f (x) = x is one solution .

Answered by Rasheed Soomro last updated on 19/Oct/15

M o r e g e n e r a l l y f (x) = x + c i s a s o l u t i o n, w h e r e c i s a c o n s t a n t .