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

1 Answer
Jun 4, 2018

{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}}