Let f(x) = (x - 1)/(x + 1), and write fⁿ for f applied n times, so that f²(x) = f(f(x)). Starting from x = 3, every step stays inside the domain of f. What is the value of f²⁰²⁶(3)?

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Let $f(x) = \dfrac{x - 1}{x + 1}$ , and write $f^{n}$ for $f$ applied $n$ times, so that $f^{2}(x) = f(f(x))$ . Starting from $x = 3$ , every step stays inside the domain of $f$ . What is the value of $f^{2026}(3)$ ?

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