Question

How do you find the domain and range of `y = 3 sqrt (x-2)`?

Answer 1

Domain:
`[2,oo)`
Range:
`[0,oo)`

Explanation:

Domain:

since it is radical expression so its domain is what's under the radical sign greater than or equal to 0 because the radical cannot equal to anything less than 0

so

`x-2>=0`

add 2 to both sides:

`x>=2`

`[2,oo)`

Range:

`[0,oo)`