Question

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

Answer 1

`x!=7`

Explanation:

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

`y=x/(2x+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:

`2x+14=0`

`2x=-14`

`x=-7`

All the other values of `x` are ok.

And so we write this as `x` cannot equal 7, or `x!=7`