[tex]\frac{f}{g}(x) = \frac{x-9}{ \sqrt{x}} [/tex]
Rationalize:
[tex] \frac{x-9}{ \sqrt{x}} \times \frac{ \sqrt{x} }{ \sqrt{x} } = \frac{x \sqrt{x}-9}{x} = \boxed{\sqrt{x} - \frac{9}{x} }[/tex]
[tex]\frac{g}{f}(x) = \boxed{\frac{ \sqrt{x} }{x-9} }[/tex]