If the common domain of the functions and is , find .
The common domain of 2 or more algebraic fractions is the set of
real numbers for which all of the fractions are defined.
We know that and 8 are the zeros of the denominators of
Consider the denominator of .
Because 8 is the only zero of then we know that must be
the only zero of . ( is of the first order so it has
only one zero.)
Consider the denominator of which is 0 when .