Pregunta
Find the domain of the function.
Write your answer as an inequality.
Or, you may instead click on “Empty set” or “All reals” as the answer.
Or, you may instead click on “Empty set” or “All reals” as the answer.
Ask by Owen Hill. in the United States
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The domain of the function is all real numbers
where
.
Solución
- The function is defined as
. - The square root is defined only when the radicand (the expression under the square root) is non-negative. Thus, we require:
- Solve for
by subtracting 2 from both sides:
The domain of the function is all real numbers
such that:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find the domain of the function
, we need to ensure that the expression inside the square root is non-negative because the square root of a negative number is undefined in the realm of real numbers. Thus, we set up the inequality:
Solving this, we get:
So, the domain of the function can be expressed as:
In interval notation, this is written as:

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