What is the domain and range for #y = sqrt(x-3)#? Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer Alberto M. May 18, 2015 You know #sqrt(a)# is well defined iff #a>=0# (otherwise its image is not in #RR#), so #y# is well defined iff #x-3>=0 => x>=3# Its range is the range of the square root, so #y>=0# Answer link Related questions How do you determine if (-1, 4), (2, 8), (-1, 5) is a function? What is the domain for #f(x)=2x-4#? What is the domain and range for (3,1), (1,-4), and (2, 8)? What is the domain and range of a linear function? Is domain the independent or dependent variable? How do you find the domain and range of a function in interval notation? How do you find domain and range of a rational function? How do you find domain and range of a quadratic function? How do you determine the domain and range of a function? What is Domain and Range of a Function? See all questions in Domain and Range of a Function Impact of this question 5981 views around the world You can reuse this answer Creative Commons License