Question

Find two functions f(x) and g(x) such that the following are true at the same time.

f(g(x))=x
g(f(x)) not=x

Answer 1

That's a great question. Real functions? All x in the domain have a single y?

Answer 2

Oh.. of course. x < 0 and f(x) = sqrt(x). How about that?

Answer 3

where g(f(x)) = not x is satisfied by g(f(x)) is undefined.

Answer 4

does impossible to calculate qualify?
http://www.rsa.com/rsalabs/node.asp?id=2188

Answer 5

@mahmit2012 is here.

Answer 6

it's false !you cant find !

Answer 7

just mentioned the domains are different.