Answer
$(-\infty,0)\cup(0,\infty)$
Work Step by Step
$y =\displaystyle \frac{3x-4}{x}$
is defined for all x that do not yield 0 in the denominator.
That is, for all real numbers except 0.
Domain=$\{x\in \mathbb{R}|x\neq 0 \}, $or, in interval notation,
$(-\infty,0)\cup(0,\infty)$
