Question

найдите область определения ​

Answer 1

Ответ:

$1)\ \ f(x)=\dfrac{3}{x^2-4}\\\\OOF:\ x^2-4\ne 0\ \ ,\ \ (x-2)(x+2)\ne 0\ \ \to \ \ \ x\ne \pm 2\\\\x\in (-\infty ;-2)\cup (-2;2)\cup (2;+\infty )\\\\\\2)\ \ f(x)=\dfrac{5}{3x^2-2x}\\\\OOF:\ 3x^2-2x\ne 0\ \ ,\ \ x(3x-2)\ne 0\ \ \to \ \ x\ne 0\ \ ,\ \ x\ne \dfrac{2}{3} \\\\x\in (-\infty ;0)\cup (0;\frac{2}{3})\cup (\frac{2}{3};+\infty )$