Let f:R→R satisfy

f(a)≠0 for some a in R

f(xf(y))=yf(x) for all x,y in R
Prove that f(x)=f(x) for all x in R.
(In reply to
re: A final input by JLo)
Could you give me your proof , in detail, for
If x outside {1,0,1}, then f(x)=x or f(x)=1/x.

Posted by Bractals
on 20061229 21:28:17 