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what is the domain of the function \\(y = \\ln(x + 2)\\)? \\(x < -2\\) …

Question

what is the domain of the function \\(y = \ln(x + 2)\\)?

\\(x < -2\\)
\\(x > -2\\)
\\(x < 2\\)
\\(x > 2\\)

Explanation:

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

$$ x > -2 $$

Answer:

  • \(x < -2\)
  • \(x > -2\) (Correct answer)
  • \(x < 2\)
  • \(x > 2\)