Найдите область определения функций y=log2(x^2-x)+lgx

Y=log₂(x²-x)+lgx

$\left \{ {{ x^{2} -x\ \textgreater \ 0} \atop {x\ \textgreater \ 0}} \right. , \left \{ {{x*(x-1)\ \textgreater \ 0} \atop {x\ \textgreater \ 0}} \right.$

1. x*(x-1)>0. x*(x-1)=0. x₁=0, x₂=1

++++(0)-----(1)++++++>x

x∈(-∞;0)∪(1;∞)

2. x>0

3.
\ \ \ \ \ \ \ \ \ \ \ \ \
------(0)-------(1)------------->x
/ / / / / / / / / / / / / /

x>1
ответ: х∈(1;∞)