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Doubt about WolframAlpha's computation of sqrt(x-1)+1/sqrt(x-1)=x/sqrt(x-1)

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Doubt about WolframAlpha's computation of sqrt(x-1)+1/sqrt(x-1)=x/sqrt(x-1)
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It is allowing complex numbers

Your input said real x but did not say the result of the formula itself had to be real
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yes, it imply in domain because if it outside dain x doesn't have value
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