If f(x)=11−xf(x) = \frac{1}{1-x}f(x)=1−x1, identify the expression for the composition f(f(f(x)))f(f(f(x)))f(f(f(x))).
11−x\frac{1}{1-x}1−x1
xxx
x−1x\frac{x-1}{x}xx−1
1x\frac{1}{x}x1