\(ĐK:\dfrac{2}{3x+5}\ge0\Leftrightarrow3x+5\ge0\left(2>0\right)\Leftrightarrow x\ge-\dfrac{5}{3}\)
\(ĐKXĐ:\left\{{}\begin{matrix}\dfrac{2}{3x+5}\ge0\\3x+5\ne0\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}3x+5\ge0\\x\ne-\dfrac{5}{3}\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x\ge-\dfrac{5}{3}\\x\ne-\dfrac{5}{3}\end{matrix}\right.\\ \Leftrightarrow x>-\dfrac{5}{3}\)