Question

What is the domain and range of `y=sqrt((x² - 8) )`?

Answer 1

Domain: `(-oo, -sqrt8] uu [sqrt8, +oo)`
Range: `y>=0`

Explanation:

For the domain of `y=sqrt(x^2-8)`
`x` can not be in between `-sqrt8` and `sqrt8`

Domain: `(-oo, -sqrt8] uu [sqrt8, +oo)`

Range: `y>=0`

kindly see the graph
graph{(y-sqrt(x^2-8))=0[-20,20,-10,10]}

God bless....I hope the explanation is useful