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a functional equation

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uvosky
 
Reply Wed 2 May, 2012 06:35 am
Hey friends, consider the functional equation f ( f ( x ) ) = f ( x ) ( 1 - f ( x ) ) it is easy to see that f ( x) = x ( 1 - x ) is a solution of the functional equation.
The query is , is there any other solution?
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Type: Question • Score: 0 • Views: 1,025 • Replies: 2
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markr
 
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Reply Wed 2 May, 2012 08:59 pm
@uvosky,
Letting y = f(x) we get f(y) = y(1-y), which is what you got. Seems to me like that's it.
uvosky
 
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Reply Wed 2 May, 2012 10:08 pm
@markr,
Well "markr" , I am glad that u are trying
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