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Write the domain in interval notation. Write your answers as integers or simplified fractions if necessary. $$h(x)=\log _{2}(6 x+7)$$
The domain is $\square$ . \begin{tabular}{ccc} \hline$\sqrt{\square}$ & $(\square, \square)$ & $\frac{\square}{\square}$ \\ {$[\square, \square]$} & $(\square, \square]$ & {$[\square, \square)$} \\ $\square \cup \square$ & $\infty$ & $-\infty$ \end{tabular}