Let f(x)=11−xf(x) = \frac{1}{1-x}f(x)=1−x1. If fn(x)f_n(x)fn(x) denotes the nnn-th iterate of fff (i.e., f1(x)=f(x)f_1(x) = f(x)f1(x)=f(x) and fn+1(x)=f(fn(x))f_{n+1}(x) = f(f_n(x))fn+1(x)=f(fn(x))), what is the value of f2024(x)f_{2024}(x)f2024(x)?
11−x\frac{1}{1-x}1−x1
x−1x\frac{x-1}{x}xx−1
xxx
1x\frac{1}{x}x1