How do you find the domain of #f(x)=sqrt (x+9)/((x+6)(x+4))#?
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
Second we cannot take the square root of a negative number. Thus:
Therefore our domain is the set of all numbers greater than or equal to
Another way to say that is: