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Найди допустимые значения переменных в выражении:

а) \(\dfrac{x^2-x+1}{4}\) ;

б) \(\dfrac{x+1}{x^2+9}+2x\) ;

в) \(\dfrac{14}{3x-6}\) ;

г) \(\dfrac{x^2-3}{(x-2)(x+5)}\) ;

д) \(\dfrac{x^2+1}{x(x+3)}\) ;

е) \(\dfrac{2x}{(x-1)^2(x^2-4)}\) .

Ответ:

a) \(x \in\) \((\) \(-\) [ ] ; \(+\) [ ] \()\) ;

б) \(x \in\) \((\) [ ] ;[ ] \()\) ;

в) \(x \in\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) ;

г) \(x \in\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) ;

д) \(x \in\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) ;

e) \(x \in\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) \(\cup\) \((\) [ ] ;[ ] \()\) .