Let f(x)=11−xf(x) = \frac{1}{1-x}f(x)=1−x1. What is the value of f2024(x)=(f∘f∘⋯∘f)(x)f_{2024}(x) = (f \circ f \circ \dots \circ f)(x)f2024(x)=(f∘f∘⋯∘f)(x) where fff is applied 202420242024 times?
xxx
11−x\frac{1}{1-x}1−x1
x−1x\frac{x-1}{x}xx−1
1x\frac{1}{x}x1