Question

[ Найдите область определения следующих функций. ]
Прошу, Помогите.
$1.3\\ y = \frac{5}{x} + \frac{7}{x + 2}$
$y = \frac{x}{2x - 3} + {x}^{2}$
$1.4 \\ y = \frac{1}{7 - {x}^{2} }$
$y = - \frac{8}{9x - 4.5}$
$1.5 \\ y = \sqrt{x + 11}$
$y = \sqrt{x - 23}$
$y = \sqrt{19 + x}$
$y = \sqrt{10 - x}$



​

Answer 1

1) D(y)= (-∞;-2)∪(-2;0)∪(0;+∞)

2) D(y)= (-∞;1,5)∪(1,5;+∞)

3) D(y)= (-∞;-√7)∪(-√7;√7)∪(√7;+∞)

4) D(y)= (-∞;0,5)∪(0,5;+∞)

5) √x+11≥0

x≥-11

D(y)= [-11;+∞)

6) √x-23≥0

x≥23

D(y)= [23;+∞)

7) √19+x≥0

x≥ -19

D(y)= [-19;+∞)

8) √10-x≥0

x≤10

D(y)= (-∞;10]