Question

X^2-4x-3 решить уравнение y=√9-3x какова область определения функции

Answer 1

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Answer 2

Solving the Equation and Finding the Domain of the Function

To solve the equation y = √(9 - 3x) and find the domain of the function, we'll start by solving for x in the given equation and then determine the domain of the function.

The given equation is y = √(9 - 3x).

To solve for x, we can rewrite the equation as: √(9 - 3x) = y

Squaring both sides of the equation to eliminate the square root gives us: 9 - 3x = y^2

Rearranging the equation to solve for x: 3x = 9 - y^2

Finally, solving for x: x = (9 - y^2) / 3

Now, to find the domain of the function, we need to consider the values for which the expression under the square root is non-negative, as the square root of a negative number is not a real number.

The expression under the square root, 9 - 3x, must be greater than or equal to 0: 9 - 3x ≥ 0

Solving for x: x ≤ 3

Therefore, the domain of the function is x ≤ 3.

Conclusion

The solution to the equation y = √(9 - 3x) is x = (9 - y^2) / 3, and the domain of the function is x ≤ 3.