What is the domain of the function: #f(x) =sqrt(x^2 - 2x + 5)#? Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer Sasha P. Sep 17, 2015 #D_f=R# Explanation: #x^2-2x+5>=0# #D=b^2-4ac=(-2)^2-4*1*5=4-20=-16# Because #D<0# and #a=1>0#, expression #x^2-2x+5>0# for #AAx in R# and square root can be calculated. Hence, #D_f=R# 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 1086 views around the world You can reuse this answer Creative Commons License