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.

Guest Jul 28, 2022

#1**+1 **

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

WhyamIdoingthis Jul 28, 2022