Question

7. Знайдіть область визначення функції у= 7÷x²+ 2x​

Answer 1

Ответ:

Е(у) є любі числа окрім нуля

Answer 2

I can help you with finding the domain of a function. The domain of a function is the set of all values of the variable that make the function defined. To find the domain of a function, we need to look for any values of the variable that would make the function undefined, such as dividing by zero or taking the square root of a negative number.

In your case, the function is y = 7 / (x^2 + 2x). This function is undefined when the denominator is zero, so we need to solve the equation x^2 + 2x = 0. This equation can be factored as x (x + 2) = 0, so the solutions are x = 0 and x = -2. These are the values of x that are not in the domain of the function. Therefore, the domain of the function is the set of all real numbers except 0 and -2. We can write this in interval notation as (-∞, -2) ∪ (-2, 0) ∪ (0, ∞).

If you want to learn more about finding the domain of a function, you can check out these resources:

- A free online calculator that can find the domain of any function - A blog post that explains how to find the domain of different types of functions - A test that can help you practice finding the domain of functions or