If the set of zeros of the function is
, find .
To clarify, is the set of zeros of .
We are required to find , where
The zeros of an algebraic fraction are all of the zeros of the
numerator which are in the domain of the function. The domain of
the function must not include zeros of the denominator because the
function is not defined when the denominator is equal to 0.
(In this case, the denominator, has only one zero
which is which does not concern us for this question.)
The set of zeros of the numerator are 8 and , so we know that