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: 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.
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Posted by Bractals
on 2006-12-29 21:28:17 |