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
Please define y by Diane)
I think y is independent in condition 2. Thus, for whatever real numbers you choose for x and y, condition 2 holds.
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Posted by Gamer
on 2006-12-29 23:15:06 |