Let f:R→R satisfy
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f(a)≠0 for some a in R
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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(2): A final input by Bractals)
I think your function fails for x=2^r*3^q and y with f(y)=y.
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Posted by JLo
on 2006-12-30 06:35:23 |