This gives practice for finding domains of rational functions.

How You Can (And Should) Get More Practice!

Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.

Theoretically Easier Difficulty Problem

Begin by setting the denominator equal to zero and solve.
Typically the best approach is to factor the bottom (if it isn’t already), then set each factor equal to zero and solving them independently to get the list of domain restrictions.

Let . What is the sum of the domain restrictions of ?

Theoretically Medium Difficulty Problem

Begin by setting the denominator equal to zero and solve.
Typically the best approach is to factor the bottom (if it isn’t already), then set each factor equal to zero and solving them independently to get the list of domain restrictions.

Let . What is the sum of the domain restrictions of ?

Theoretically Harder Difficulty Problem

Begin by setting the denominator equal to zero and solve.
Typically the best approach is to factor the bottom (if it isn’t already), then set each factor equal to zero and solving them independently to get the list of domain restrictions.

Let . What is the sum of the domain restrictions of ?