What is the domain of #sqrt((x-1)/(x+3))#? Precalculus Functions Defined and Notation Domain 1 Answer Alan P. Jan 4, 2017 Domain: #(-oo,-3)uu[1,+oo)# or some equivalent notation Explanation: #{: (underline("If"),color(white)("XXX"),underline(x<-3),underline(x=-3),underline(-3 < x < 1),underline(x>=1)), (sqrt((x-1)/(x+3))" is",,"Real","Undefined","Imaginary","Real") :}# Answer link Related questions What is the domain of a function? What are common mistakes students make when working with domain? How does the domain of a function relate to its x-values? What is the domain of a linear function? What is the domain of a quadratic function? What is the domain of a function like #f(x) = 5x^2#? What is the domain of #f(x) = {(1, 2), (3, 4), (5, 6), (7, 8), (9, 10), (10, 10)}#? What is the domain of #f(x) = x#? How do I find the domain of the function #f(x) = 2x#? How do I find the domain of the function #f(x)=5x^2+2x-1#? See all questions in Domain Impact of this question 2613 views around the world You can reuse this answer Creative Commons License