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Just Math
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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Subject
Author
Date
x and y are independent
Gamer
2006-12-31 01:49:07
thanx Gamer
Ferdinand
2006-12-30 19:49:46
re: explanation of expression (1)
Gamer
2006-12-30 18:55:12
problem with expression (1)
Ferdinand
2006-12-30 18:10:07
re(4): A final input
Bractals
2006-12-30 11:46:27
re(3): A final input
JLo
2006-12-30 06:58:23
re(3): A final input
JLo
2006-12-30 06:35:23
Four derived restrictions
Gamer
2006-12-30 01:56:55
re: A final input
Gamer
2006-12-30 00:01:06
re(2): A final input
Bractals
2006-12-29 23:52:02
y is independent
Gamer
2006-12-29 23:15:06
Please define y
Diane
2006-12-29 21:58:21
re(2): A final input
Bractals
2006-12-29 21:28:17
re: A final input
JLo
2006-12-29 17:14:14
A final input
Gamer
2006-12-29 14:11:48
All nice solutions
JLo
2006-12-29 08:44:43
Similar Solution
Gamer
2006-12-29 00:14:29
Unique solution
JLo
2006-12-28 19:26:48
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