Вопрос в картинках...

$y= \sqrt{log _{0,5}(x+1) }$
ООФ:
$\left \{ {{log _{0,5} (x+1) \geq 0} \atop {x+1\ \textgreater \ 0}} \right. \left \{ {{log _{0,5} (x+1) \geq log _{0,5} 1} \atop {x\ \textgreater \ -1}} \right.$

$0\ \textless \ 0,5\ \textless \ 1 \left \{ {{x+1 \leq 1} \atop {x\ \textgreater \ -1}} \right. \left \{ {{x \leq 0} \atop {x\ \textgreater \ -1}} \right.$

x∈(-1;0]