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)
Does the following function satisfy the
restrictions of the problem?
f(x) = (1)^p*2^r*3^q
if x = (1)^p*2^q*3^r for p in {0,1} and q,r in Z
= x
otherwise
If not, can you show me where it fails.

Posted by Bractals
on 20061229 23:52:02 