Помогите!!!!y=arcсos(x-2)-ln(x-2) Область определения
Аргумент у арккосинуса изменяется от -1 до 1 логарифмируемое выражение должно быть больше нуля:
![\left \{ {{-1 \leq x-2 \leq 1} \atop {x-2\ \textgreater \ 0}} \right. \\ \\ \left \{ {{-1 +2\leq x-2+2 \leq 1+2} \atop {x-2\ \textgreater \ 0}} \right. \\ \\ \left \{ {{1 \leq x\leq 3} \atop {x\ \textgreater \ 2}} \right. \\ \\ 2\ \textless \ x \leq 3 \\ \\ OTBET: \ D(y)=(2;3]](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B-1+%5Cleq+x-2+%5Cleq+1%7D+%5Catop+%7Bx-2%5C+%5Ctextgreater+%5C+0%7D%7D+%5Cright.++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B-1+%2B2%5Cleq+x-2%2B2+%5Cleq+1%2B2%7D+%5Catop+%7Bx-2%5C+%5Ctextgreater+%5C+0%7D%7D+%5Cright.+++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B1+%5Cleq+x%5Cleq+3%7D+%5Catop+%7Bx%5C+%5Ctextgreater+%5C+2%7D%7D+%5Cright.+++%5C%5C++%5C%5C+2%5C+%5Ctextless+%5C+x+%5Cleq+3+%5C%5C++%5C%5C+OTBET%3A+%5C+D%28y%29%3D%282%3B3%5D "\left \{ {{-1 \leq x-2 \leq 1} \atop {x-2\ \textgreater \ 0}} \right. \\ \\ \left \{ {{-1 +2\leq x-2+2 \leq 1+2} \atop {x-2\ \textgreater \ 0}} \right. \\ \\ \left \{ {{1 \leq x\leq 3} \atop {x\ \textgreater \ 2}} \right. \\ \\ 2\ \textless \ x \leq 3 \\ \\ OTBET: \ D(y)=(2;3]")