The functions are and
.
:
All possible values of is the domain of the function.
The denominator of the function should not be zero.
\The domain of is
.
:
All possible values of is the domain of the function.
The domain of is the set of all real numbers.
(a)
\Find .
.
The domain of the inside function is
.
All possible values of is the domain of the function.
The denominator of the composite function should not be zero.
\From general solution
The domain of is
.
(b)
\Find .
.
The domain of the inside function is
.
The composite function has no restrictions, so all possible values of is the domain of the function.
The domain of is
.
(c)
\Find .
.
The domain of the inside function is
.
All possible values of is the domain of the function.
The denominator of the composite function should not be zero.
\The domain of is
.
(d)
\Find .
.
The domain of the inside function is
.
The composite function has no restrictions, so all possible values of is the domain of the function.
The domain of is
.
(a) , and its domain is
.
(b) , and its domain is
.
(c) , and its domain is
.
(d) , and its domain is
.