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
.