Question 635580
{{{ y=sqrt(x-3)+8}}}

{{{ graph(600, 600, -10, 15, -10, 15,sqrt(x-3)+8) }}} 

as you can see the minimum is at ({{{3}}},{{{8}}}), because if {{{x=3}}}, than {{{sqrt(x-3)=sqrt(3-3)=srt(0)=0}}}

so, 
the domain is: |{{{x}}} element {{{R}}}: {{{x>=3}}}
and 

the range is: |{{{y}}} element {{{R}}}: {{{y>=8}}}