The functions are
and
.
:
All possible values of
is the domain of the function.
The function under the square root should not be negative.
\
The domain of
is
.
:
All possible values of
is the domain of the function.
The function under the square root should not be negative.
\
The domain of
is
.
\
(a)
\Find
.

.
All possible values of
is the domain of the function.
Domain of
is
.
Domain of
is
.
So the domain is
and
.
The domain of
is
.
\
(b)
\Find
.

.
All possible values of
is the domain of the function.
Domain of
is
.
Domain of
is
.
So the domain is
and
.
The domain of
is
.
\
(c)
\Find
.

.
All possible values of
is the domain of the function.
Domain of
is
.
Domain of
is
.
So the domain is
and
.
The domain of
is
.
\
(d)
\Find
.

.
All possible values of
is the domain of the function.
Domain of
is
.
Domain of
is
.
But denominator of the function should not be a zero.
\
So the domain is
and
.
The domain of
is
.
\
(a)
, and its domain is
.
(b)
, and its domain is
.
(c)
, and its domain is
.
(d)
, and its domain is
.