Question

How do you find the domain and range of `sqrt(x-1)`?

Answer 1

Domain: `[1, +oo)`
Range: `[0, +oo)`

Explanation:

`f(x) = sqrt(x-1)` :
The square roots are only defined when the expression under the square root is non-negative.

Domain:
`x - 1 >= 0`
`x >=1`

Range:
`sqrt (x-1) >= 0`
`f(x) >= 0`