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I an trying to find the domain and range of f(x) square root x-3

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Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...

Domain of the function ƒ(x) is the set of values of "x" or "input" for which the function is defined.
Range of the function ƒ(x) = y is the values of "y" or output"
In set of real numbers √a is the real number if a ≥ 0

Domain (possible value of "x")
ƒ(x) = √(x - 3) is defined in set of real numbers if (x - 3) ≥ 0
              x - 3 ≥ 0
              x ≥ 3   or  [3, +∞)  
Range (possible value of "y"):  
The minimum value of given function:  ƒ(3) = 0
             y = ƒ(x) ≥ 0  or  [0, +∞)  

Alexandra M. | Mathematics/ Specialized InstructorMathematics/ Specialized Instructor

the domain is x≥3 and the range is y≥0

x-3≥0  =  x≥3 (by adding three to both sides) = Domain 

For range, y can be any number greater than 0, because when y=0 x=3 = Range 


You can check this also by entering the equation in a calculator