# How do you find the domain of g(x)=5/(6-7x)?

Jan 25, 2017

The domain is $= \mathbb{R} - \left\{\frac{6}{7}\right\}$

#### Explanation:

As you cannot divide by $\left(0\right)$ ; $6 - 7 x \ne 0$

$x \ne \frac{6}{7}$

Therefore,

the domain of $g \left(x\right)$ is ${D}_{g} \left(x\right) = \mathbb{R} - \left\{\frac{6}{7}\right\}$