# For what values of x, if any, does #f(x) = 1/((x-9)(x-1)(x-5)) # have vertical asymptotes?

##### 1 Answer

Feb 13, 2016

#### Answer:

#### Explanation:

To find the vertical asymptotes, you simply have to find the values of

In this case, we can use the equation:

These are:

So we will have vertical asymptotes here. To help demonstrate this we can graph the equation:

graph{1/((x-3)(x-5)(x-9) [-3.73, 16.27, -4.48, 5.52]}

As you can see the graph shoots off to infinity and does not cross at the vertical lines

As a point of interest notice there is one horizontal asymptote at