1.Wyznacz dziedzinę funkcji a)f(x) = [latex] sqrt{x - 3} [/latex] b)f(x) = [latex] x^{2} [/latex] + 1 + [latex] sqrt{2 - x} [/latex] c)f(x) = [latex] sqrt{2x - 6 } [/latex] - 3 [latex] sqrt{3 - x} [/latex]

[latex]a) f(x)=sqrt{x-3}\\D:x-3geq0; xgeq3\\xinleft<3;infty)[/latex] [latex]b) x^2+1+sqrt{2-x}\\D: 2-xgeq0\\-xgeq-2 /cdot(-1)\\xleq2\\xinleft(-infty;2 ight>[/latex] [latex]c) f(x)=sqrt{2x-6}-3sqrt{3-x}\\D: 2x-6geq0 wedge 3-xgeq0\\2xgeq6 /:2 wedge -xgeq-3 /:(-1)\\xgeq3 wedge xleq3\\D:xin{3}[/latex] ©DRK