Question

What is the domain and range of `y= sqrt(x-1)`?

Answer 1

Domain is `x>=1`. Range is all real numbers.

Explanation:

Note that `(x-1)` cannot take negative values of `y` is real. Assuming that we are working in real number domain, it is obvious x cannot take values less than one. Hence, domain is `x>=1`.

However, as `sqrt(x-1)`, `y` can take any value. Hencr, range is all real numbers.