# math

* Give a linear function with its zero at x = a, what is the equation of the vertical asymptote of its reciprocal function?

* Give a quadratic function with its zeros at x = a and x = b, what are the equations of the vertical asymptotes of its reciprocal function?

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1. f = k(x-a)
1/f = 1/k(x-a)
so the vertical asymptote is x=a

similarly for the quadratic. the asymptotes are at x=a and x=b, where the denominator is zero.

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