10. Find the function $f(x)$, which is known to satisfy

$$
f(x)= \begin{cases}x \cdot f\left(\frac{2 x+3}{x-2}\right)+3, & \text { for } x \neq 2 \\ 0, & \text { for } x=2\end{cases}
$$
Answer: $f(x)=\frac{3(x+1)(2-x)}{2\left(x^{2}+x+1\right)}$.