Question

МЕГА МОЗГ ПОМОГИ 20 МИНУТ ОСТАЛОСЬ СРОЧНО

Answer 1

Объяснение:

$\displaystyle\\\frac{1}{5-\frac{1}{a-2} }$

ОДЗ:

$\displaystyle\\\left \{ {{a-2\neq 0} \atop {5-\frac{1}{a-2} \neq 0}} \right. \ \ \ \ \ \ \left \{ {{a\neq 2} \atop {\frac{5*(a-2)-1}{a-2}\neq 0 }} \right. \ \ \ \ \ \ \left \{ {{a\neq 2} \atop {\frac{5a-10-1}{a-2} \neq 0}} \right. \\\\\\\left\{\begin{array}{ccc}a\neq 2\\a-2\neq 0\\5a-11\neq 0\end{array}\right\ \ \ \ \ \ \left\{\begin{array}{ccc}a\neq 2\\a\neq 2\\5a\neq 11\ |:5\end{array}\right\ \ \ \ \ \ \left[\begin{array}{ccc}a\neq 2\\a\neq 2\\a\neq 2,2\end{array}\right\ \ \ \ \ \ \Rightarrow$

$OTBET:\ a\in(-\infty;2)U(2;2,2)U(2,2;+\infty).$