How do you find the domain of square root of 16-x^2? Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer MeneerNask Jun 15, 2015 #sqrt(16-x^2)# may never have a negative "under the root". Explanation: So: #16-x^2>=0->x^2<=16-># #|x|<=4->-4<=x<=4# 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 1817 views around the world You can reuse this answer Creative Commons License