The function has a variable in the denominator. The domain of such a function is restricted where the denominator is 0. In this case, that is when $\displaystyle{x}+{5}={0}\usepackage{cmbright}\Huge\$ , which would happen when $\displaystyle{x}=-{5}\usepackage{cmbright}\Huge\$ . Therefore, the domain is all real numbers except $\displaystyle-{5}\usepackage{cmbright}\Huge\$ . Graph the function to find another asymptote at $\displaystyle{y}={0}\usepackage{cmbright}\Huge\$ . This means there is no value of x for which $\displaystyle\frac{{2}}{{{x}+{5}}}={0}\usepackage{cmbright}\Huge\$ . Therefore, the range is all real numbers except 0.