[tex]zad.g\\\\f(x)=\dfrac{\sqrt{6-x} }{\sqrt{x-1} } \\\\zal. \sqrt{x-1} \neq 0~~,~~x-1\geq 0~~\Rightarrow x-1>0\\\\x>1~~\Rightarrow ~~x\in(1 ; \infty ) ~~\Rightarrow ~~D=(1 ; \infty )\\\\Odp: D = (1 ; \infty )\\\\zad.h\\\\f(x)=\dfrac{\sqrt{x+6} }{x^{2} \sqrt{3-x} } \\\\zal. \sqrt{3-x} \neq 0~~,~~3-x\geq 0~~,~~x^{2} \neq 0\\\\3-x>0~~,~~x\neq 0~~\\\\x<3~~,~~x\neq 0~~\Rightarrow~~x\in(-\infty;0)\cup (0;3)\\\\D=(-\infty;0)\cup (0;3)~~lub ~~inny~~zapis~~D=(-\infty;3)\backslash \{0\}\\\\[/tex]
[tex]zad.i\\\\f(x)=\dfrac{\sqrt{4-x} }{(x^{2} -4)\sqrt{x+2} } \\\\zal. ~~x^{2} -4\neq 0~~,~~\sqrt{x+2}\neq 0~~,~~x+2\geq 0\\\\(x-2)(x+2)\neq 0~~\Rightarrow~~x\neq 2~~,~~x\neq -2\\x+2>0~~\Rightarrow~~x> -2 ~~\Rightarrow~~x\in(-2; \infty )\\\\D=(-2; \infty) \backslash \{2\}~~lub~~inny~~zapis~~D=(-2;2)\cup (2; \infty)[/tex]
