Given f(x)=x−1x+1f(x) = \frac{x-1}{x+1}f(x)=x+1x−1, find f(f(f(x)))f(f(f(x)))f(f(f(x))).
x−1x+1\frac{x-1}{x+1}x+1x−1
−1/x-1/x−1/x
xxx
x+1x−1\frac{x+1}{x-1}x−1x+1