APFIVE Rational Function Holes and Asymptotes
A rational function $$g(x) = \frac{x^2 - 1}{x^2 - 3x + 2}$$ can be simplified by canceling common factors. After simplification, which of the following statements about the original function is true?
A
The function has vertical asymptotes at both $$x = 1$$ and $$x = 2$$
B
The function has a hole at $$x = 1$$ and a vertical asymptote at $$x = 2$$
C
The function has holes at both $$x = 1$$ and $$x = 2$$
D
The function has a hole at $$x = 2$$ and a vertical asymptote at $$x = 1$$
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