Question

What is the domain of `h(x)=sqrt(-3x+18)`?

Answer 1

The argument under the root may not be negative.

Explanation:

`-3x+18>=0->` divide by `3`
`-x+6>=0->` subtract `6`
`-x>=-6->` now flip the sign and the `>=`
`x<=6`

So the domain is `x in[6, oo)`