Question

найдите область определения функции: у=log0,5(2x-x^2) Cрочно!!

Answer 1

$y=log_{0,5}(2x-x^2)\\\\2x-x^2\ \textgreater \ 0\\\\-x(x-2)\ \textgreater \ 0\\\\x(x-2)\ \textless \ 0\qquad +++(0)---(2)+++\\\\x\in (0,2)$