The given real function is () = √( − 1)
It can be seen that √( − 1) is defined for ≥ 1.
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,∞).
