Question 905057
The domain is all values of {{{x}}} so that the function is defined. 
In this case the function is not defined it the argument of the numerator is negative and if the denominator equals zero. 
So, {{{x+6>=0}}}
{{{x>=-6}}}
and
{{{x<>9}}}
So then putting this together in interval notation,
Domain : ({{{-6}}},{{{9}}})U({{{9}}},{{{infinity}}})

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{{{graph(300,300,-8,12,-10,10,sqrt(x+6)/(x-9))}}}