Question 752142
The restriction is that {{{x-9>0}}}.  This means {{{x>9}}}.  The domain for the full rational function {{{f(x)=(x^2+2x-15)/sqrt(x-9)}}} is {{{highlight(x>9)}}}.




(You had the "wrong" arrangement of brace tags to make the function appear normal in your question, but what you showed could be understood).