You correctly identified the domain of the function. However, you may not have graphed the function to find the range or you may have misread the function as $\displaystyle{f{{\left({x}\right)}}}={7}+\sqrt{{{x}+{2}}}\usepackage{cmbright}\Huge\$ . Because the square root symbol cannot have a negative value, $\displaystyle\sqrt{{{x}+{2}}}\ge{0}\usepackage{cmbright}\Huge\$ . Use this fact to find the range.