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The functions are
.
The composition f with g is 
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
(Simplify)
The value of
.
The functions are
.
The composition g with f is 
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
(Simplify)
The value of
.
The functions are
.
The composition g with g is 
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
(Simplify)
The value of
.