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

##### 1 Answer
Jun 4, 2018

$\left\{x | x \setminus \ge q 4 , x \setminus \in \setminus m a t h \boldsymbol{R}\right\}$

#### Explanation:

For $f \left(x\right) : \setminus m a t h \boldsymbol{R} \setminus \rightarrow \setminus m a t h \boldsymbol{R}$

We cannot take the square root of imaginary numbers thus,

$\sqrt{x - 4} \setminus \ge q 0$

$x - 4 \setminus \ge q 0$

$x \setminus \ge q 4$

Thus the domain of the functions is :
$\left\{x | x \setminus \ge q 4 , x \setminus \in \setminus m a t h \boldsymbol{R}\right\}$