Question

How do you find the domain of `f (x)= sqrt(-5x-10)`?

Answer 1

Domain: `x <= -2`

Explanation:

Assuming we are restricted to Real values
`sqrt(-5x-10)`
is only defined if #(-5x-10) >= 0

that is only if
`color(white)("XXXX")(-10) >= 5x` (after adding `5x` to both sides)

or
`color(white)("XXXX")-2 >= x` (after dividing both sides by `5`)