Let . Which of the following correctly describes the discontinuities of on the real…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\dfrac{x^{2}-9}{x+3}

. Which of the following correctly describes the discontinuities of

g

on the real line? (a)

x=-3

only, and it is removable (b)

x=-3

only, and it is infinite (vertical asymptote) (c)

x=3

only, and it is removable (d)

g

is continuous on

\mathbb R

(no discontinuities)