Question

Найти область определения
y=log⁡〖₄(x+5)〗+√(2-x)

Answer 1

Ответ:

$y=log_4(x+5)+\sqrt{2-x}\\\\\\OOF:\ \ \left\{\begin{array}{ccc}x+5>0\\2-x\geq 0\end{array}\right\ \ \left\{\begin{array}{ccc}x>-5\\x\leq 2\end{array}\right\ \ \Rightarrow \ \ \ -5<x\leq 2\\\\\\x\in (-5\ ,\ 2\ ]$