Question

Найдите область определения функции, с решением. Помогите пожалуйста!

Answer 1

Область определения функции - все допустимые значения х
в данном случае это:
|x|-2>=0
|x|>=2
x принадлежит (-oo;-2] и [2;+oo)

Answer 2

Finding the Domain of a Function

To find the domain of a function, we need to consider the values that the independent variable (usually denoted as x) can take without causing the function to be undefined. Let's work through an example to find the domain of a function.

Given the function: f(x) = 4x + 10

Solution:

The domain of a linear function like f(x) = 4x + 10 is all real numbers. This means that x can take any real value without causing the function to be undefined. Therefore, the domain of the function f(x) = 4x + 10 is all real numbers.

This is a general property of linear functions, where the domain is always all real numbers.