How do you find the domain of #f (x) = -1 / ( x + 3)#?

1 Answer
Mar 19, 2018

Answer:

The domain of a function is a set of all x, for which the function exists or #f# be defined

Explanation:

In our case, the only value for #f(x)# does'nt exist is #-3#

En efect: if #x=-3# then #f(-3)=-1/(-3+3)=-1/0#. There is no number which multiplied by 0 gives -1

For this reason the domain is #dom(f(x))={x in RR // x!=-3}#