Question

Найдите область определения функции f(x)=log5 5x-x^2/x+8

Answer 1

(5x-x²)/(x+8)>0
x(5-x)/(x+8)>0
x=0  x=5  x=-8
           +                  _                +                 _
--------------(-8)--------------(0)----------(5)--------------------
x∈(-∞;-8) U (0;5)