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Suppose f is a function such that f(f(x))=x for all x in the domain of f, and suppose that f(0)=2003. Find all roots of the equation f(x)=0

 Oct 24, 2017
 #1
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f( f(x) )  =  x

 

So...

 

f( f(0) )  =  0               And  f(0)  =  2003 .

 

f( 2003 )  =  0

 Oct 25, 2017

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