Domain:
The domain of the function refers to the
set of all possible values of x for which the function is defined.
The expression inside the square root is x
- 1, and we cannot take the square root of a negative number in the real number
system. Therefore, we require:
x - 1 ≥ 0 ⟹ x ≥ 1
So, the function is defined for all x ≥ 1.
Range:
The range refers to the set of all possible
values of as x takes values from the domain.
When x = 1, , so .
As x→+∞,