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Question
what is the domain of the function \\(y = \ln(x + 2)\\)?
\\(x < -2\\)
\\(x > -2\\)
\\(x < 2\\)
\\(x > 2\\)
Set up the domain inequality
Using the Domain of Logarithmic Functions knowledge point
$$
x + 2 > 0
$$
Solve the inequality for x
Using the Linear Inequalities knowledge point
$$
x > -2
$$
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- \(x < -2\)
- \(x > -2\) (Correct answer)
- \(x < 2\)
- \(x > 2\)