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
.