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

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 for the natural logarithm

$$ x + 2 > 0 $$

Solve the inequality for x

$$ x > -2 $$

Answer:

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