Mathematics

Mathematics

Problem

Consider the function p(x)=(x+2)(x−4)(x−4)(x2−9).p(x)=\dfrac{(x+2)(x-4)}{(x-4)(x^{2}-9)}. Which of the following lists all the vertical asymptotes of pp? a) x=4x=4 only b) x=3,  x=−3, and x=4x=3,\;x=-3,\text{ and }x=4 c) x=3 and x=−3x=3\text{ and }x=-3 d) x=−3 and x=4x=-3\text{ and }x=4

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