## 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 $24 \times f(-3)$.