Define by . Which of the following correctly classifies the discontinuities of…

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

Problem

Define

r

r(x)=\dfrac{(x-2)(x+1)}{x^{2}-4}

. Which of the following correctly classifies the discontinuities of

r

? (a) Removable at

x=2

and removable at

x=-2

(b) Infinite at

x=2

and removable at

x=-2

x=2

and infinite at

x=-2

(d) Infinite at both

x=2

and

x=-2