The functions are
and
.
Find
.
The sum
is the function defined by :
.


.
All possible values of
is the domain of a function.
The domain of
is set of all real numbers.

Find
.
The difference
is the function defined by :
.


.
All possible values of
is the domain of a function.
The domain of
is set of all real numbers.
Find
.
The product
is the function defined by :
.


.
All possible values of
is the domain of a function.
Since
is a quadratic function, the domain is all real numbers.
The domain of
is set of all real numbers.

Find
.
The quotient
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.
\
The domain of
is all real numbers except
.

Find
.
.
Substitute
in
.


.
\

Find
.
.
Substitute
in
.

.

Find
.
.
Substitute
in
.
.

Find
.

Substitute
in
.

.
, domain is all real numbers.
, domain is all real numbers.
, domain is all real numbers.
, domain is
.
.
.
.
.