# How do you find the restrictions of 3/(x-4)-7?

Sep 28, 2017

$x \ne 4$

#### Explanation:

if $x = 4$, you will have $\frac{3}{0} - 7$ which is undefined.
So, we exclude that from the domain of x.

Sep 28, 2017

See a solution process below:

#### Explanation:

We cannot divide by $0$.

Therefore:

$x - 4 \ne 0$

Or

$x - 4 + \textcolor{red}{4} \ne 0 + \textcolor{red}{4}$

$x - 0 \ne 4$

$x \ne 4$