Question

Найдите область определения функции у=1/1-✓х^2

Answer 1

Ответ:

$y=\dfrac{1}{1-\sqrt{x^2}}=\dfrac{1}{1-|x|}\\\\\\OOF:\ \ 1-|x|\ne 0\ \ \ \to \ \ \ |x|\ne 1\ \ ,\ \ x\ne \pm 1\\\\\\x\in (-\infty \, ;-1\ )\cup (-1;\ 1\ )\cup (\ 1\ ;+\infty )$