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.
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 \(x \in (1, \infty)\).