Question

y = √(4-x²)log1/2 (x+5)
Найти область определения функции

Answer 1

$y=sqrt{4-x^2}cdot log_{frac{1}{2}}(x+5)\\OOF:; ; left { {{4-x^2 geq 0} atop {x+5 textgreater 0}} right. ; left { {{x^2-4 leq 0} atop {x textgreater -5}} right. ; left { {{(x-2)(x+2) leq 0} atop {x textgreater -5}} right. ; left { {{xin [-2,2; ]} atop {xin (-5,+infty )}} right. \\xin [-2,2; ]$