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To solve this problem, we need to determine which function has a domain where \(x \neq 3\) and a range where \(y \neq 2\).

### Step 1: Domain Analysis

The domain is restricted by the denominator in rational functions. Any value that makes the denominator zero is excluded from the domain. Let's analyze the denominator of each option:

- **Option 1: \( f(x) = \frac{x-5}{x+3} \)**
  - The denominator is \( x+3 \).

Which function has a domain where x ≠ 3 and a range where y ≠ 2?

Analyze which rational function has a domain where x ≠ 3 and a range where y ≠ 2. This problem covers key concepts in rational functions, including finding the domain by setting the denominator to zero and calculating the horizontal asymptote to determine the range. Suitable for Grades 10-12.

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