The functions are
and
.
Find
.
(Division of functions formula)
(Substitute
and
)
(Rewrite the numerator)
(Take common factors)
(Factorize the numerator)
(Cancel the common terms)
Since
makes the denominator
, hence
is excluded from the domain of
.
Find the domain of the function.
\The function is
.
The denominator of the function is never zero..
\
(Factors)
(Simply)
Therefore, the domain of the function is
.
The resulting function is
and domain is
.