Question

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

Answer 1

Domain of `y` is `[2,+oo)`

Explanation:

`y = sqrt(x-2)`

For `{x,y} in RR`, `y` is defined `forall x>=2`

Hence, the domain of `y` is `[2,+oo)`

We can infer this result from the graph of `y` below.

graph{sqrt(x-2) [-3.73, 12.076, -3.75, 4.15]}