Answer
$\{x|x\gt-\frac{3}{2} \}$.
Work Step by Step
The domain requirement(s) for the given function is $2x+3\gt0\Longrightarrow x\gt -\frac{3}{2}$ or $\{x|x\gt-\frac{3}{2} \}$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 321: 42
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