Question

Y=√x-4 знайти область визначення функції

Answer 1

Решение:
у = √х - 4
D :
x ≥ 0
Ответ: [0; + ∞).
Если под корнем вся разность, то решение следующее:
у = √(х - 4)
D :
x - 4 ≥ 0
х ≥ 4
Ответ: [4; + ∞).

Answer 2

Finding the Domain of the Function Y=√x-4

To find the domain of the function Y=√x-4, we need to determine the set of all real numbers for which the function is defined. The function Y=√x-4 involves a square root, and the domain of a square root function is the set of all real numbers greater than or equal to zero because the square root of a negative number is not a real number.

The function Y=√x-4 can be rewritten as Y=√(x-4). Therefore, the expression inside the square root, x-4, must be greater than or equal to zero for the function to be defined.

Determining the Domain

To find the domain of the function Y=√x-4, we set up the inequality x-4 ≥ 0 and solve for x.

Solving for x: x-4 ≥ 0 x ≥ 4

This means that the domain of the function Y=√x-4 is all real numbers greater than or equal to 4.

Therefore, the domain of the function Y=√x-4 is x ≥ 4.

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