Find the Domain square root of x-9=19

Problem

√(,x−9)=19

Solution

1. Identify the restriction for the square root function. For the expression to be defined in the set of real numbers, the radicand (the expression inside the square root) must be greater than or equal to zero.

2. Set up the inequality based on the radicand.

radicand≥0

3. Substitute the specific expression from the equation into the inequality.

x−9≥0

4. Solve the inequality for x by adding 9 to both sides.

x≥9

5. Express the domain in interval notation. Since x can be any value from 9 to infinity, including 9 we use a square bracket.

[9,∞)

Final Answer

Domain:[9,∞)

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