# What's the domain of #g(x)=(x^2-5x+4)/(x^2-2x-15)#?

##### 1 Answer

Mar 13, 2017

#### Explanation:

We have the function:

Let's first talk about the values of

In this case, when dealing with a fraction, we can't have the denominator be 0. So what values of

We can find that by saying:

and now solving for

And so these are the two values that aren't allowed.

We can see that in the graph:

graph{(x^2-5x+4)/(x^2-2x-15) [-33.28, 39.8, -13.83, 22.75]}

(If you scroll on the graph, you can zoom in on those two