The functions are
and
.

Find
.
The sum
is the function defined by :
.
.
All possible values of
is domain of a function.
Find which number make the fraction undefined, create an equation where the
\denominator is not equal to zero.
\
.
Domain of
= domain of
domain of
.
The domain of
is
.

Find
.
The difference
is the function defined by :
.
.
All possible values of
is the domain of a function.
Domain of
= domain of
domain of
.
The domain of
is all real numbers except
.

Find
.
The product
is the function defined by :
.
.
All possible values of
is domain of a function.
Find which number make the fraction undefined, create an equation where the
\denominator is not equal to zero.
\
Domain of
= domain of
domain of
.
The domain of
is
.

Find
.
The quotient
is the function defined by :
.

.
All possible values of
is domain of a function.
Domain of
=
domain of
domain of
.
The function
.
Since
is undefined when
.
So exclude
.
The domain of
is all real numbers except
.

Find
.
.
Substitute
in
.
.

Find
.
.
.

Find
.
.
Substitute
in
.
.

Find
.
.
Substitute
in
.
.
.
, domain is
.
, domain is all real numbers except
.
, domain is
.
, domain is all real numbers except
.
.
.
.
.