# What is the domain of f(x) = 8/(x-13)?

Sep 13, 2017

$\text{Domain:}$ $\left\{x \in \mathbb{R} | x \ne 13\right\}$

#### Explanation:

We have: $f \left(x\right) = \frac{8}{x - 13}$

The domain of this function is dependent on the denominator.

The denominator of any fraction cannot be equal to zero:

$R i g h t a r r o w x - 13 \ne 0$

$\therefore x \ne 13$

Therefore, the domain of $f \left(x\right)$ is $\left\{x \in \mathbb{R} | x \ne 13\right\}$.