Question 365282
In order to figure out what this graph looks like, we need to find vertical and horizontal asymtotes. Asymtotes are a part of a graph of which it is impossible to get the number.<br>

Vertical Asymtotes: In order to find vertical asymtotes, we need to set the denominator to zero so that we get a "div by 0" error on our calculator if we were to calculate it. To solve for this one (x+5), we need to get it so that it equals 0.<br>

Horizontal Asymtotes: In order to find horizontal asymtotes, we need to look at the degrees of the fraction. On the numerator, the degree is 1 (x-3). On the denominator, the degree is also 1 (x+5). We divide the two degrees (1/1) and that is our horizontal asymtote. <br>

Now that we have found the asymtotes, we can now find the domain.<br>

The domain goes from negative infinity to -5, and then goes to -5 to infinity.
The horizontal asymtote does not affect the domain; it affects the range.<br>


<b>Answer:</b>

(-infinity, -5)U(-5, infinity)