Question

How do you find the domain of `(3x-6)/ (sqrt(2x+1) - 3)?`

Answer 1

The function is defined if

`(2x + 1) > 0 -> 2x > -1 -> x > -1/2`

The domain of `x` is `(-1/2, +oo)`

Check: `if x = 1 -> (2x + 1) = 3 > 0`