Not another composed function
Algebra
Level
4
Define the function \(f(x)=\frac{2x}{1-x^2}\). Find the number of distinct real solutions of the equation \(f^{(5)} (x) =x.\)
Details and assumptions
\( f^{(n)} (x) \) denotes the function \(f\) applied \(n\) times. In particular, \( f^{(5)} (x) = f(f(f(f(f(x)))))\).
by
Calvin Lin