# What is the domain and range of #y = (x + 3) / (x -5)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

Ok, lets start with the Domain

The domain of this equation is all numbers except when you divide by

Now we get

So at

That means that every other number you can think of will be valid for this function. Which gives us

Now to find the Range

The range can be found by dividing the leading coefficients from the numerator and the denominator. In the numerator we have

Since there is no number in front of the

So it would

So the range is