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

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

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

Answer

Explanation:

Step1: Recall domain of natural - log function

The domain of $y = \ln(u)$ is $u>0$.

Step2: Set the argument greater than 0

For $y=\ln(x + 2)$, set $x+2>0$.

Step3: Solve the inequality

Subtract 2 from both sides: $x>-2$.

Answer:

$x > - 2$ (Second option)