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# Domain

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What is the domain of the real-valued function
q(x) = sqrt(x)/sqrt(-1 + x^2)?
Express your answer as an interval or as a union of intervals.

Jul 28, 2022

#1
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x can't be negative, otherwise the numerator would be imaginiary.

x can't be one to negative one, otherwise the denominator would be 0 or imaginary.

Therefore, the domain is $$x \in (1, \infty)$$.

Jul 28, 2022