The vector function is
.
The component function
can be written as
.
.
Component functions of
are
,
and
.
Domain of
consists of all values of
.
Find the domain of
.
is rational function.
Denominator of the function should not be zero.
\
Domain of the function
is
.
Find the domain of
.
is a sine function and its domain is all real numbers.
Find the domain of
.
is a logarithmic function and the domian of logarithmic function is real numbers greater than zero.
Logarithm of a negative value is undefined.
\

.
Domain of
is
.
Domain of vector function is intersection of three component functions.
\
.
Domain of
is
.
Domain of
is
.