Self-Inverse Function?

Algebra Level pending

Let \(a, b, c\) be integers such that the function \( \ f(x) = \large \frac{ ax-b} { cx} \ \) has the following properties:

  • \( f(1) = -2.5 \)
  • \( f(5) = -0.5 \)
  • \( f(f(x) ) = x \)

Find \(f(-20)\).

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