The function is defined by for all real

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The function

g

is defined by

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

for all real

x\neq 3

. Explain why

x=3

is not a vertical asymptote of the graph of

g