Question

3x/1-6/10-5x найти О.Д.З

Answer 1

10-5x≠0
-5x≠-10
5x≠10
x≠2

1-6/(10-5x)≠0
6/(10-5x)≠1
6≠10-5x
5x≠4
x≠0.8
Одз: x≠0.8, 2

(если я правильно понял, что 10-5x единственный знаменатель с переменной, суть в том, что знаменатель не может равняться 0, т.к. на 0 делить нельзя)

Answer 2

To find the domain of the given expression, we need to determine the values of "x" that make the expression defined. The expression is:

$\frac{3x}{1} - \frac{6}{10} - 5x$

Step 1: Simplify the expression by combining like terms:

$3x - \frac{6}{10} - 5x$

Step 2: Combine the "x" terms:

$3x - 5x = -2x$

Step 3: Simplify the constant term:

$-\frac{6}{10} = -\frac{3}{5}$

Now, the expression becomes:

$-2x - \frac{3}{5}$

The domain of the expression is the set of all real numbers "x" for which the expression is defined. Since there are no denominators or radical expressions involved in this expression, the expression is defined for all real numbers.

Therefore, the domain of the expression is $-\infty < x < \infty$, or in interval notation: $(- \infty, \infty)$.