# How do you simplify and find the excluded values of 3/(x-5)?

Dec 1, 2017

$x \ne 5$

#### Explanation:

This is an algebraic fraction which is already in it simplest form.
There is no radical in the denominator so it can be left as it is.

Note that division by zero is not permissible so any value of $x$ which make the denominator equal to $0$ is excluded.

$x - 5 = 0 \text{ } \rightarrow x = 5$ is an excluded value.