Question

What is the domain of this function?


`f(x)= √(2x-14)`

Please explain and answer in interval notation

Answer 1

`image`

Answer 2

The square root function is only defined for non-negative arguments. So you must have

... 2x - 14 ≥ 0

... 2x ≥ 14

... x ≥ 7

In interval notation, x ∈ [7, ∞)