Correct. The domain of this rational function is restricted where the denominator is 0, which is why the domain is all real numbers except 3. Create a graph to find any other asymptotes. There is a second asymptote at $\displaystyle{y}={6}\usepackage{cmbright}\Huge\$ . You can check that 6 is not a value of the function by trying to solve $\displaystyle\frac{{{6}{x}}}{{{x}-{3}}}={6}\usepackage{cmbright}\Huge\$ . This will lead to $\displaystyle{6}{x}={6}{x}-{18}\usepackage{cmbright}\Huge\$ , and then $\displaystyle{0}=-{18}\usepackage{cmbright}\Huge\$ . Because this is impossible, the range does not include 6.