Determine which values of $x$ would cause the function $g\left(x\right) = \dfrac{1}{x-3}$ to be undefined. What does this tell you about the domain of $g(x)$?

The value(s) $x=$ make the function $g(x)=\dfrac{1}{x-3}$ undefined.

Domain of $g(x)$:

Hint: