How do you find the domain of #1/(x+6)#?

1 Answer
Jul 13, 2016

Answer:

The domain is: #D=RR-{-6}# or #D=(-oo;-6)uu(-6;+oo)#

Explanation:

To find the domain of a function you have to think about all values of #x# for which the function's formula makes sense. In the example above only limitation is that #0# cannot be the value of the denominator, so to find out which point is excluded from the domain you have to solve the equation #x+6=0#

This equation has one solution #x=-6#, so the domain of the function is the set of all real numbers except number #-6#. We can write it in two ways:

#D=RR-{-6}#

or as the sum of 2 intervals:

#D=(-oo;-6)uu(-6;+oo)#