Question

Яке число не входить до області визначення функції у=4/3х-6

Answer 1

Ответ:

2

Объяснение:

Знаменатель ≠0, на 0 делить нельзя.

3х-6≠0

3х≠6

х≠2 это ОДЗ (обл.определения)

Answer 2

Функція у = (4/3)х - 6 є лінійною функцією, тому її область визначення складається з усіх значень х, для яких функція визначена. Щоб знайти значення, яке не входить до#### Finding the Domain of the Function u(x)

To determine the numbers that do not belong to the domain of the function u(x) = 4/3x - 6, we need to consider the restrictions on the input values (x) that would make the function undefined.

Understanding the Domain of a Function

The domain of a function consists of all the possible input values (x) for which the function is defined. In the case of rational functions like u(x) = 4/3x - 6, we need to consider the restrictions imposed by the denominator, as division by zero is undefined.

Determining the Excluded Value

In the function u(x) = 4/3x - 6, the denominator is 3x. For a rational function, the denominator cannot be equal to zero, as division by zero is undefined. Therefore, the excluded value from the domain of the function u(x) is the value of x that makes the denominator equal to zero.

Calculating the Excluded Value

To find the excluded value, we set the denominator 3x equal to zero and solve for x: 3x = 0 x = 0

Conclusion

The number that does not belong to the domain of the function u(x) = 4/3x - 6 is x = 0. This is because when x is equal to 0, the denominator becomes zero, leading to an undefined value for the function.

Therefore, the domain of the function u(x) = 4/3x - 6 is all real numbers except x = 0.