APFIVE Simplifying Rational Functions With Holes
The rational function $$f(x) = \frac{(x + 4)(x - 2)}{(x + 4)(x + 1)}$$ has a hole in its graph. After removing the hole, what is the simplified form of $$f(x)$$?
A
$$f(x) = \frac{x - 2}{x + 1}$$ for $$x \neq -4$$
B
$$f(x) = \frac{x - 2}{x + 4}$$ for $$x \neq -1$$
C
$$f(x) = \frac{x - 2}{x + 1}$$ for $$x \neq -1$$
D
$$f(x) = \frac{x + 4}{x + 1}$$ for $$x \neq -4$$
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