Question 984305
The square root function is defined only when the argument is non-negative.
{{{x-5>=0}}}
{{{x>=5}}}
The rational function is defined everywhere except when the denominator equals zero.
{{{x+5=0}}}
{{{x=-5}}}
So the domain is all real numbers except {{{x=-5}}} and between {{{x=0}}} and {{{x=5}}}.
So that would be,
({{{-infinity}}},{{{-5}}})U({{{-5}}},{{{0}}})U[{{{5}}},{{{infinity}}})