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: Find the Domain
The domain of a function consists of all the values of \( x \) for which the function is defined. In this case, the function \( f(x) \) is a rational function, which means we need to ensure that the denominator does not equal zero.

1. Set the denominator equal to zero:
\[
3 - x = 0
...