# Chapter 3 - Mid-Chapter Check Point - Page 477: 7

$$D_g=(0, \infty )$$

#### Work Step by Step

Please note that the function $\log_bM$ is defined if and only if $M \gt 0$. Thus, the domain of the function $g(x)=\log_3x+6$ is$$D_g=(0, \infty ).$$

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