Determine the domain of the function. $$ f(x)=\frac{x^{2}}{2-x} $$

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1. The function is given by 
   $$
   f(x)=\frac{x^2}{2-x}.
   $$

2. To determine the domain, we must ensure that the denominator is not zero. Thus, we set:
   $$
   2-x \neq 0.
   $$

3. Solving for $$x$$:
   $$
   2-x \neq 0 \quad \Longrightarrow \quad x \neq 2.
   $$

4. Therefore, the domain of the function is all real numbers except $$x=2$$:
   $$
   \{x \in \mathbb{R} \mid x \neq 2\}.
   $$
The domain of the function $$ f(x) = \frac{x^2}{2 - x} $$ is all real numbers except $$ x = 2 $$.

Determine the domain of the function.

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