Question

List all restricted values sqrt 1 - 3x?

Answer 1

All values of `x` so that `x>1/3`

Explanation:

We are given `sqrt(1-3x)`

As we cannot take square root of a negative number,

the restriction on values of `x` are given by

`1-3x<0`

or `1<3x`

or `3x>1`

or `x>1/3`

Answer 2

the domain is `(-oo, 1/3]`
the restricted values are `(1/3, oo)`

Explanation:

`sqrt(1-3x)` => square root can't be negative, it can be zero or greater:
`1-3x>=0` => add `3x` to both sides:
`1>=3x` => divide both sides by 3:
`1/3>=x`
Or:
`x<=1/3` => the domain of the function

to find the restricted values:
`1-3x<0`
`1<3x`
`x>1/3`