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Simplifying Rational Functions With Holes
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Let $$f$$ be the rational function defined by $$f(x) = \frac{(x + 4)(x - 2)}{(x + 4)(x + 1)}$$. Which of the following is an equivalent representation of the function $$f$$?

A

$$f(x) = \frac{x - 2}{x + 4}$$ for $$x \neq -1$$

B

$$f(x) = \frac{x + 4}{x + 1}$$ for $$x \neq -4$$

C

$$f(x) = \frac{x - 2}{x + 1}$$ for $$x \neq -1$$

D

$$f(x) = \frac{x - 2}{x + 1}$$ for $$x \neq -4$$

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