Answer
The domain of this function is $\text{All real numbers where}\;x\ne0$.
Work Step by Step
When this question asks for the domain of the function, it is asking for the values of $x$ that can be legally substituted into the function. (For instance, in the function $\frac{1}{x}$, $x\ne0$ because this would make the denominator of the fraction equal to 0, making the function at that value be undefined.)
In the case of the function $y=\frac{x-4}{2x}$, we can't substitute $0$ into the function as it would cause the denominator to be $2\times0=0$, making the fraction undefined.
Therefore, the domain of this function is $\text{All real numbers where}\;x\ne0$.