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An Odd Function (
Posted on 20061228
)
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.
See The Solution
Submitted by
Bractals
Rating:
3.8333
(6 votes)
Comments: (
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problem with expression (1)
 Comment 15 of 18 
Why in (1) f(0) = f(0f(0)) = 0f(0) = 0 ?
Posted by
Ferdinand
on 20061230 18:10:07
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