What is the domain of f(x) = 1/ sqrt x - 3? slash:fraction

### 1 Answer | Add Yours

Domain of: f(x) = `1/ (sqrt(x) - 3)`

Domain is set of all possible input values for your function.

We can not have negative values as that is not a real solution for the `sqrt(x)`

Also, we can not have any values in which make our denominator equal to 0.

So far, x must be greater than or equal to 0. However, notice if x is 9 we'd have:

`1 / (sqrt(9)-3)= 1 / (3-3) = 1/0`

**Therefore x must be all real numbers greater than 0, but 9.**

**`{x| 0<=x<9uu 9<x<oo}` **

` `

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes