## Calculus (3rd Edition)

$g$ has a removable discontinuity at $x=3$ (remove with $g(3)=4.5$).
Since lim $_{x \rightarrow 3} g(x)$ exists, the function $g$ has a removable discontinuity at $x=3 .$ Assigning $g(3)=4.5$ makes $g$ continuous at $x=3$.