# What are the excluded values for y=x/(2x+14)?

##### 1 Answer

$x \ne 7$

#### Explanation:

We're looking for values of $x$ that aren't allowed in the fraction

$y = \frac{x}{2 x + 14}$

If we look at the numerator, there is nothing there that will exclude any $x$ values.

If we look at the denominator, where the value 0 is not allowed, there is a value of $x$ that is disallowed because it will make the denominator 0. That value is:

$2 x + 14 = 0$

$2 x = - 14$

$x = - 7$

All the other values of $x$ are ok.

And so we write this as $x$ cannot equal 7, or $x \ne 7$