Найдите область определения функции
Подкоренное выражение должно быть ≥0, и знаменатель не должен равняться нулю
![\left \{ {{ 9-x^2 \geq 0 } \atop {x+1 \neq 0}} \right. \ \ \left \{ {{ (3-x)(3+x) \geq 0 } \atop {x\neq -1}} \right. \ \ \\ \\ ------[-3]+++++[3]---\ \textgreater \ x \\ \\ \left \{ {{x\in[-3;3] } \atop {x\neq -1}} \right. \ \textless \ =\ \textgreater \ x\in[-3;-1) \ U \ (-1;3] \\ \\ OTBET: \ D(y)=[-3;-1) \ U \ (-1;3]](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B+9-x%5E2+%5Cgeq+0+%7D+%5Catop+%7Bx%2B1+%5Cneq+0%7D%7D+%5Cright.+%5C+%5C+%5Cleft+%5C%7B+%7B%7B+%283-x%29%283%2Bx%29+%5Cgeq+0+%7D+%5Catop+%7Bx%5Cneq+-1%7D%7D+%5Cright.+%5C+%5C+%5C%5C+%5C%5C+------%5B-3%5D%2B%2B%2B%2B%2B%5B3%5D---%5C+%5Ctextgreater+%5C+x+%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7B%7Bx%5Cin%5B-3%3B3%5D+%7D+%5Catop+%7Bx%5Cneq+-1%7D%7D+%5Cright.+%5C+%5Ctextless+%5C+%3D%5C+%5Ctextgreater+%5C+x%5Cin%5B-3%3B-1%29+%5C+U+%5C+%28-1%3B3%5D+%5C%5C+%5C%5C+OTBET%3A+%5C+D%28y%29%3D%5B-3%3B-1%29+%5C+U+%5C+%28-1%3B3%5D+ "\left \{ {{ 9-x^2 \geq 0 } \atop {x+1 \neq 0}} \right. \ \ \left \{ {{ (3-x)(3+x) \geq 0 } \atop {x\neq -1}} \right. \ \ \\ \\ ------[-3]+++++[3]---\ \textgreater \ x \\ \\ \left \{ {{x\in[-3;3] } \atop {x\neq -1}} \right. \ \textless \ =\ \textgreater \ x\in[-3;-1) \ U \ (-1;3] \\ \\ OTBET: \ D(y)=[-3;-1) \ U \ (-1;3]")