Question

Указать область определения

Answer 1

$y=frac{x^3}{-x^2+2|x|-1}\\OOF:; ; -x^2+2|x|-1ne 0; ; Rightarrow ; ; -(x^2-2|x|+1)ne 0; ,\\x^2-2|x|+1ne 0; ,\\x^2=|x|^2; ,; ; |x|^2-2|x|+1=(|x|-1)^2ne 0; Rightarrow ; ; |x|-1ne 0; ,\\|x|ne 1; ; Rightarrow ; ; xne -1; ; i; ; xne 1\\D(y)=(-infty ,-1)cup (-1,1)cup (1,+infty )$