For this case we must find the domain of the following function:
![y = ln (x + 2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l4ua8nyhvdutx9hdyghezpc5idi6d3zvco.png)
By definition, the domain of a function is given by all the values for which the function is defined.
In this case, the argument of the expression must be greater than 0 to be defined.
![x + 2> 0\\x> -2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kwjxhjltxhg4990k8hb80rl75dv23orbht.png)
Thus, the domain of the function is given by all the values of x greater than -2.
Answer:
Domain:
![x> -2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/afzmuaolurpyzaz3ei8bi533v7ng41jp34.png)