# How do you find the domain of #f(x)=sqrt (x+9)/((x+6)(x+4))#?

##### 1 Answer

Oct 20, 2017

#### Explanation:

The domain is the set of all possible x-values we **can** plug in to this function.

There are two things that we have to consider when thinking of x-values we **cannot** plug in to the function:

First we cannot divide by

So

Second we cannot take the square root of a negative number. Thus:

So

Therefore our domain is the set of all numbers greater than or equal to

Another way to say that is: