Find the domain of √1+√1-√1-x^2
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A square root with a negative number under the root cannot produce a real number. This means that 1−x2 must be greater than or equal to zero. Squaring a real number will always produce a positive number, so x2 must be equal to or smaller than 1 . This means x is between 0 and 1 , giving the domain of [0,1] .
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Answer:Domain is x belongs to all real values as this is satisfied for all real values of x.
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