How do you find the domain of #g(x) = root3(x+3)#?
The domain is
To find the domain of a function you have to think of all real values of
In the given function there are no excluded values of
Note that if there was square root sign (instead of cubic root) then the domain would only be the set for which
because square root (or generally root of an even degree) cannot be calculated for negative values.
We have a cube root here, Note that while even powers are all positive, odd powers can be negative as well.
Hence, domain of