Question 740154
if you mean this:

{{{f(x)=sqrt((x+5)/(x-5))}}}...domain will be all real numbers from {{{x-5=0}}}(denominator) to {{{infinity}}}, and  all real numbers from {{{x+5=0}}} (numerator) to {{{-infinity}}}

if {{{(x-5)=0}}} =>  {{{x=5}}}
and
if {{{(x+5)=0}}} =>  {{{x=-5}}}


 {{{ graph( 600, 600, -10, 10, -10, 10, sqrt((x+5)/(x-5))) }}}

so, *[tex \LARGE \ \ \ \ \ \ \ \ \ \ \text{domain }\left{x\,\in\,\mathbb{R}\,:\,x\,\>\,5,\,x\,<=\-5\right}]


Use the brackets [ ] if the value is part of the graph.

({{{-infinity}}},{{{-5}}}] U ({{{5}}},{{{infinity}}})