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This is because whether a function has a vertical asymptote (VA) or not is not affected by the numerator. The denominator is where the VA originates when you try to divide by 0. For example, y=x/(x-1) and and y=1/(x-1) BOTH have VAs when the denominator is equal to zero. x-1=0 when x=1, so that's where the VA is, regardless of the numerator.

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Q: Why do functions with vertical asympotes sometimes have a numerator of x and other times numerator of 1?
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