Domain

An expression is well-defined if you can compute its value without any illegal operations.  Examples of expressions that are [i]not[/i] well-defined include $1/0$ and $\sqrt{-10}$.  For what values of $x$ is the expression
$$\frac{\sqrt{4x} - \sqrt{-3x}}{\sqrt{2x}}$$
well-defined?

Express your answer in interval notation.