Answer:
See below
Step-by-step explanation:
We have
[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]
The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.
Therefore, the domain of the function can be written as
[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]
