All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 An Odd Function (Posted on 2006-12-28)
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)

 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

 Search: Search body:
Forums (0)