Answer
$$D_g=(0, \infty )$$
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$$D_g=(0, \infty ).$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Mid-Chapter Check Point - Page 477: 7
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