Question 433014
First we must have {{{4 - sqrt(2-x) > 0}}}.
<==> {{{16 > 2-x}}} after squaring both sides.
<==> {{{x > -14}}}.

Intersect this with {{{2 - x >= 0}}}, or {{{2 >= x}}}, to get the interval 

(-14, 2].  This is the domain.