The given real function is () = √( − 1) It can be seen that √( − 1) is defined for ≥ 1.
The given function is Therefore, the domain of f is the set of all real numbers greater than or equal to 1 i.e.,
the domain of f = [1, ∞). As x ≥ 1 ⇒ (x – 1) ≥ 0 ⇒ √( − 1) ≥ 0
Therefore, the range of f is the set of all real numbers greater than or equal to 0 i.e.,
the range of f = [0, ∞).
