Find the domain and the range of the function, `f(x)=(x-2)/(x-3)`.

Explanation

Let's find the domain and the range of the function \( f(x) = \frac{x-2}{x-3} \).

### Step-by-Step Solution:

#### Step 1: Finding the Domain
1. **Identify the denominator**: The function \( f(x) = \frac{x-2}{x-3} \) has a denominator \( x-3 \).
2. **Set the denominator not equal to zero**: For the function to be defined, the denominator must not be zero.
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