Вопрос школьника по предмету Алгебра
Помогите плиззз!!!
Найдите область определения функции lg((5-4x)/(12x+1))
Ответ учителя по предмету Алгебра
lg((5-4x)/(12x+1))
((5-4x) / (12x+1))> 0 и 12x+1≠0 ⇒ х≠ -1/12
решим две системы
{ 5-4x>0 12x+1>0
x<5/4 x> -1/12
\\\\
—— -1/12 —————5/4————-
{ 5-4x<0 12x+1<0
x>5/4 x<-1/12
\\ \\\\
——- — 1/12 ———-5/4———- данная система решений не имеет
Ответ х∈(- 1/12 ; 5/4)
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y=2x
{
x+y=6