Question

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

Answer 1

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;∞)