Find the Domain ( square root of x)/(x-20)

Problem

√(,x)/(x−20)

Solution

1. Identify the constraints for the numerator. For the square root function √(,x) to be defined in the set of real numbers, the radicand must be non-negative.

x≥0

2. Identify the constraints for the denominator. A rational expression is undefined when the denominator is equal to zero.

x−20≠0

3. Solve the inequality for the denominator to find the excluded value.

x≠20

4. Combine the constraints. The domain consists of all real numbers x such that x is greater than or equal to 0 and x is not equal to 20

[0,20)∪(20,∞)

Final Answer

Domain: *[0,20)∪(20,∞)

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