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# domain/range

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

### 2 Answers by Expert Tutors

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
-1

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

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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
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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