Re: f((f(f(x)) problem

Posted by Homer Simpson on Apr 22, 2014; 3:36am
URL: http://discussion-forum.276.s1.nabble.com/f-f-f-x-problem-tp7585834p7587566.html

here it is - f(f(1/x)) = f(1-(1/x)/1+(1/x)) - substitute (1/x)
                           = f(x-1/x+1)
                           = [1 - (x-1)/(x+1)]/[1+ (x-1)/(x+1)] - substitute (x-1)/(x+1)
                           = (x+1 - x+1)/(x+1 + x-1)
                           = 1/x