Ononot — Let f(x) = \frac{ax+b}{cx+d} be a function such that f(f(x))

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Let $f(x) = \frac{ax+b}{cx+d}$ be a function such that $f(f(x)) = x$ for all $x$ in the domain. If $f(1) = 2$ and $f(3) = 4$ , what is $f(5)$ ?