Question

Найдите область определения функций:

$f(x)= sqrt{1-x^{2}} \ f(x)= ln(|x|-1) \ f(x)= frac{1}{x^{2}-1}$

Answer 1

1)  $1-x^2 geq 0,\x^2-1 leq 0,(x-1)(x+1) leq 0, xin [-1,1]\+ ++ + + [-1] - - - - -[1] + + + + +\2) |x|-1>0,|x|>1,to xin (-infty,-1)U(1,+infty)\3) x^2ne 1,to xne -1,x ne 1,\xin (-infty,-1)U(-1,1)U(1,+infty)$