y=√_1/3(x^2-2x)+1 funksiyaning aniqlanish sohasini toping.

Shartlar: $x^2-2x>0$ va $\log_{\frac{1}{3}}(x^2-2x)\ge-1=\log_{\frac{1}{3}}3$. Asos 1 dan kichik bo‘lgani uchun $x^2-2x\le3$, ya’ni $-1\le x\le3$. $x^2-2x>0$ dan $x<0$ yoki $x>2$. Kesishmasi: $[-1;0)\cup(2;3]$.

Manba: UZBMB namunaviy test topshiriqlari (2022, mutaxassislik)