Question

Найдите область определения функции:y= In(-4x^2+10x)

Answer 1

$y=ln(-4x^2+10x)\\\\-4x^2+10x\ \textgreater \ 0\\\\-2x(2x-5)\ \textgreater \ 0\; |:(-2)\\\\x(2x-5)\ \textless \ 0\\\\x_1=0\; ,\; \; 2x-5=0\; \; \to \; \; x_2=2,5\\\\+++(0)---(2,5)+++\\\\x\in (0\, ;\, 2,5)$