Question 343864
The domain is all x that make the function defined.
The square root function requires non-negative arguments.
{{{x-2>=0}}}
{{{x>=2}}}
The denominator cannot equal zero so ,
{{{x-1=0}}}
{{{x=1}}}
From that, x can never equal 1. 
Since {{{x>=2}}}, that's covered.
So the domain is {{{x>=2}}} or [{{{2}}},{{{infinity}}})
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{{{graph(300,300,-2,10,-2,2,sqrt(x-2)/(x-1))}}}