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Let f(x) = (x + 1)/(x - 1).  What is f(f(2010))?

 Dec 2, 2019
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I'll do this the bash way

f(2010) = (2011)/(2009)

f(2011/2009) = (4020/2009)/(2/2009) = 4020/2009 * 2009/2 = 2010

 

You can also notice that f[(x+1)/(x-1)] = x

 Dec 2, 2019

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