Consider f(x)=11−xf(x) = \frac{1}{1-x}f(x)=1−x1. What is f(f(f(x)))f(f(f(x)))f(f(f(x)))?
xxx
1−x1-x1−x
1x\frac{1}{x}x1
x−1x\frac{x-1}{x}xx−1