We will see that the domain of the function is:
D: {x | x ∈ R | x > -6}
How to find the domain of a function?
To find the domain of a function, we start by assuming that it is the set of all real numbers, and then we remove the problematic points.
In this case, we have a logarithm, and as you may remember, we can only evaluate the logarithm in positive values, so we need to remove all the values of x such that:
x + 6 ≤ 0
Solving for x, we get:
x ≤ -6
So the only values of x allowed are the ones that make the next inequality true:
x > -6.
Thus we can write the domain as:
D {x | x ∈ R | x > -6}
Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number unless we specify that it is not, but just for completion, I wrote it.
If you want to learn more about domains, you can read:
https://brainly.com/question/1770447
