Question 639350
{{{sqrt(u-2)-sqrt(6-u)}}}

domain will be all real numbers except values of {{{u}}} that make {{{u-2}}} and {{{6-u}}} equal to {{{0}}}

and they are:

{{{u-2=0}}}.....->...{{{u=2}}}

{{{6-u=0}}}.....->...{{{6=u}}}

*[tex \LARGE \  \text{domain}\ \left{u\ \in\ \mathbb{R} \right}] and *[tex \LARGE \ \ 2\ \leq\ u\ \leq 6]