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

Решите задачу:

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