1. The problem states that \(g(x) = f(x) + 2\) and asks to find the domain of \(g\). 2. To find the domain of \(g\), we need to understand the domain of \(f\) because adding 2 to \(f(x)\) does not affect the domain. 3. The domain of \(g\) is the same as the domain of \(f\), \text{ since shifting a function vertically by 2 does not restrict any input values }. 4. Therefore, \(\text{Domain of } g = \text{Domain of } f\). 5. If the domain of \(f\) is given, that will be the domain for \(g\). Without the explicit domain of \(f\), we cannot specify further.