Subjects algebra

Function Domain 30D0Fd

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1. The problem asks to find the domain of the function $$f(x) = \frac{x - 6}{x + 8}$$. 2. The domain of a rational function is all real numbers except where the denominator is zero because division by zero is undefined. 3. Set the denominator equal to zero and solve for $$x$$: $$x + 8 = 0$$ $$x = -8$$ 4. Therefore, $$x = -8$$ is excluded from the domain. 5. The domain is all real numbers except $$x = -8$$. 6. This corresponds to choice D: all real numbers except $$x = -8$$.