Question

Найти область определения функции:
$y= sqrt{4-x|x|}$

Answer 1

$y= sqrt{4-x|x|} \ 4-x|x| geq 0 \ left { {{4-x^2 geq 0, x geq 0} atop {4+x^2 geq 0, x<0}} right. \ left { {{x^2 leq 4, x geq 0} atop {x<0}} right. \ left { {{0 leq x leq 2} atop {x<0}} right. \ x leq 2 \ D(y)=(-infty; 2]$