Question

Найдите область определения данной функции

Answer 1

$y= frac{ sqrt{2x+5} }{x-4}$

$left { {{2x+5 geq 0} atop {x-4 neq 0}} right.$
$left { {{2xgeq -5} atop {x neq 4}} right.$
$left { {{xgeq -2.5} atop {x neq 4}} right.$

--------[-2.5]---------------(4)-----------------
                ////////////////////////////////////////
$D(y)=[-2.5;4)$ ∪ $(4;+$ ∞ $)$