Let fn(x)f_n(x)fn(x) be the nnn-th iterate of f(x)=11−xf(x) = \frac{1}{1-x}f(x)=1−x1. Find f2025(x)f_{2025}(x)f2025(x).
f(x)f(x)f(x)
xxx
x−1x\frac{x-1}{x}xx−1
1x\frac{1}{x}x1