The domain of the function is x > -2, written as an interval this is (-2, ∞)
How to find the domain?
For a function y = f(x), the domain is the set of possible inputs that we can use in the function.
Here we have:
f(x) = ln(x + 2) - 1
Now, we know that the argument of a logarithm must be larger than zero, so our domain will be defined by:
argument > 0
x + 2 > 0
x > -2
This is the domain.