What is the domain of f(x)? #f(x)= 1/((2x-1)+sqrt(x^2-3)# Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer kubik98 Dec 31, 2017 #D(f)=(-oo,-3]uuu[3,oo)# Explanation: #I_1:(2x−1)+sqrt(x^2−3)!=0# #I_2:x^2-3>=0# #D(f)=I_1nnnI_2# #2x−1+sqrt(x^2−3)!=0# #sqrt(x^2−3)!=1-2x# #x^2−3!=(1-2x)^2# #x^2−3!=1-4x+4x^2# #0!=4-4x+3x^2# #3x^2-4x+4!=0# #"discriminant"<0# #=>I_1=RR# #x^2-3>=0# #(x-3)(x+3)>=0# #I_2=(-oo,-3]uuu[3,oo)# #D(f)=I_1nnnI_2=RRnnn((-oo,-3]uuu[3,oo))# #D(f)=(-oo,-3]uuu[3,oo)# 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 1381 views around the world You can reuse this answer Creative Commons License