2014 Singapore MO (Open Rd 1) Problem 9

2014 SMO (Open-Rd1) 9. A real-valued function f satisfies the equation f(x) + f \left( \displaystyle\frac{1}{1-x} \right) = \displaystyle\frac{x}{x-1} for all real numbers x \neq 0, 1. Find 24 \times f(-3).

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