Question

Найдите область определения функции
$f(x) = \frac{2x - 3}{x + 4} - \frac{x + 4}{2x - 3}$
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Answer 1

Ответ:

$f(x)=\dfrac{2x-3}{x+4}-\dfrac{x+4}{2x-3}\\\\\\OOF:\ \left\{\begin{array}{l}x+4\ne 0\ ,\\2x-3\ne 0\end{array}\right\ \ \left\{\begin{array}{l}x\ne -4\ ,\\x\ne 1,5\ .\end{array}\right\\\\\\x\in D(y)=(-\infty ;-4\ )\cup (-4\ ;\ 1,5\ )\cup (\, 1,5\ ;+\infty )$