Mathematics

Problem

Consider

g(x)=\dfrac{x^{2}-9}{x^{2}-4}

. Which statement is correct? a) Vertical asymptotes at

x=\pm 3

and

x

-intercepts at

x=\pm 2

b) Vertical asymptote at

x=2

only and

x

-intercepts at

x=\pm 3

c) Vertical asymptotes at

x=\pm 2

and

x

-intercepts at

x=\pm 3

d) No vertical asymptote and

x

-intercepts at

x=\pm 3