Subjects algebra

Domain Rational E61883

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1. **State the problem:** Find the domain of the function $$f(x) = \frac{x - 9}{x + 5}$$. 2. **Recall the domain rule for rational functions:** The domain includes all real numbers except where the denominator is zero because division by zero is undefined. 3. **Set the denominator equal to zero and solve:** $$x + 5 = 0$$ $$x = -5$$ 4. **Exclude this value from the domain:** The function is undefined at $$x = -5$$. 5. **Write the domain:** All real numbers except $$x = -5$$. **Final answer:** The domain is all real numbers except $$x = -5$$, which corresponds to choice B.