The functions are and
.
Find .
The sum is the function defined by :
.
.
All possible values of is domain of a function.
The function is a rational function.
The denominator of the function should not be the zero.
\
Domain of = domain of
domain of
.
The domain of is all real numbers except
.
Find .
The difference is the function defined by :
.
.
All possible values of is domain of a function.
The function is a rational function.
The denominator of the function should not be the zero.
\
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.
The function is a rational function.
The denominator of the function should not be the zero.
\
Domain of = domain of
domain of
.
The domain of is all real numbers except
.
Find .
The quotient is the function defined by :
.
.
All possible values of is domain of a function.
The function is a rational function.
The denominator of the function should not be the zero.
\
Domain of =
domain of
domain of
.
The function .
Since is undefined when
.
So exclude .
The domain of is all real numbers except
and
.
Find .
.
Substitute in
.
.
\
Find .
.
Substitute in
.
.
Find .
.
Substitute in
.
.
Find .
.
Substitute in
.
.
, domain is all real numbers except
.
, domain is all real numbers except
.
, domain is all real numbers except
.
, domain is all real numbers except
and
.
.
.
.
.