Consider the function p(x)= (x+2)(x-4) (x-4)(x^ 2 -9)

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

Problem

Consider the function

p(x)=\dfrac{(x+2)(x-4)}{(x-4)(x^{2}-9)}.

Which of the following lists all the vertical asymptotes of

p

? (a)

x=4

only (b)

x=3,\;x=-3,\text{ and }x=4

(c)

x=3\text{ and }x=-3

(d)

x=-3\text{ and }x=4