Consider the function

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the function h(x)=x2−4x(x−2)h(x)=\dfrac{x^{2}-4}{x(x-2)}. At which of the following points does hh possess a vertical asymptote? (a) x=2x=2 only (b) x=0 and x=2x=0 \text{ and } x=2 (c) x=0x=0 only (d) Neither x=0x=0 nor x=2x=2

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