найдите область определения функции . y=log3(5x-x^2). Created by 9876543211daadg. algebra-ru

найдите область определения функции . y=log3(5x-x^2)...

August 2022 2 28 Report

найдите область определения функции . y=log3(5x-x^2)

1boikova $y= log_{3} (5x-x^2)$
$5x-x^2\ \textgreater \ 0$
$x(5-x)\ \textgreater \ 0$
$x=0$
$x=5$

- + -
--------(0)----------(5)------------
//////////////
$x$ ∈ $(0;5)$

$D(y)=(0;5)$

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Luluput

Verified answer

ОДЗ: 5х-х^2>0 х (5-х)>0 х=0 х=5 __0____5___> - + - х (0;5)

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