Question

Найти область определения функции
$sqrt{16-x} ^{2} + frac{x+4}{x}$

Answer 1

$left { {{16-x^2 geq 0} atop {x neq 0}} right. ; left { {{x^2 -4^2 leq 0} atop {x neq 0}} right. ; left { {{(x -4)(x+4) leq 0} atop {x neq 0}} right. ; left { {{x in [-4;4]} atop {x in (-infty;0)cup(0;+infty)}} right. ;$

$xin[-4;0)cup(0;4]$