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An Odd Function (
Posted on 2006-12-28
)
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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Please define y
| Comment 7 of 18 |
What kind of variable is y ? Is it a second variable or a dependent one ?
Posted by
Diane
on 2006-12-29 21:58:21
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