f-R-R-f-xy-f-x-y-f-x-f-y-f-x-f-y-f-1-f-0-f-1-

Question Number 1130 by 123456 last updated on 22/Jun/15

f : R \to R

f (x y) + f (x + y) = f (x) f (y) + f (x) + f (y)

f (- 1) = ?

f (0) = ?

f (+ 1) = ?

Answered by prakash jain last updated on 23/Jun/15

f (x) = x

f (x + y) + f (x y) = x + y + x y = f (x) + f (y) + f (x) f (y)

f (0) = 0

f (1) = 1

f (- 1) = - 1

Commented by Rasheed Soomro last updated on 15/Jul/15

Y o u h a v e p r o v e d y o u r s e l f a s a n i n t e l l i g e n t m a t h e m a t i t i o n!