Find the domain and range of the function `f(x)` given by `f(x)=(x-2)/(3-x)dot`

Explanation

To find the domain and range of the function \( f(x) = \frac{x-2}{3-x} \), we will follow these steps:

### Step 1: Determine the Domain
The domain of a function consists of all the values of \( x \) for which the function is defined. For rational functions, we need to ensure that the denominator is not equal to zero.

1. **Identify the denominator**: The denominator of \( f(x) \) is \( 3 - x \).
2. **Set the denominator not equal to zero**:
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