Question

How do you find the domain of `f(x)=sqrt(x-4)`?

Answer 1

`{x | x \geq 4, x \in \mathbb{R}}`

Explanation:

For `f(x) : \mathbb{R} \rightarrow \mathbb{R}`

We cannot take the square root of imaginary numbers thus,

`sqrt(x-4) \geq 0`

`x-4 \geq 0`

`x \geq 4`

Thus the domain of the functions is :
`{x | x \geq 4, x \in \mathbb{R}}`