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
.
.
.
.
.