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An Odd Function (Posted on 2006-12-28) Difficulty: 3 of 5
Let f:R→R satisfy
  1. f(a)≠0 for some a in R
  2. 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: ( You must be logged in to post comments.)
  Subject Author Date
x and y are independentGamer2006-12-31 01:49:07
thanx GamerFerdinand2006-12-30 19:49:46
re: explanation of expression (1)Gamer2006-12-30 18:55:12
problem with expression (1)Ferdinand2006-12-30 18:10:07
re(4): A final inputBractals2006-12-30 11:46:27
re(3): A final inputJLo2006-12-30 06:58:23
re(3): A final inputJLo2006-12-30 06:35:23
Four derived restrictionsGamer2006-12-30 01:56:55
re: A final inputGamer2006-12-30 00:01:06
re(2): A final inputBractals2006-12-29 23:52:02
y is independentGamer2006-12-29 23:15:06
Please define yDiane2006-12-29 21:58:21
re(2): A final inputBractals2006-12-29 21:28:17
re: A final inputJLo2006-12-29 17:14:14
A final inputGamer2006-12-29 14:11:48
All nice solutionsJLo2006-12-29 08:44:43
SolutionSimilar SolutionGamer2006-12-29 00:14:29
SolutionUnique solutionJLo2006-12-28 19:26:48
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