Mathematics

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)