The function
h
(
x
)
=
1
x
+
1
\displaystyle {h}{\left({x}\right)}=\frac{{1}}{{{x}+{1}}}
h
(
x
)
=
x
+
1
1
can be expressed in the form
f
(
g
(
x
)
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}
f
(
g
(
x
)
)
where
g
(
x
)
=
(
x
+
1
)
\displaystyle {g{{\left({x}\right)}}}={\left({x}+{1}\right)}
g
(
x
)
=
(
x
+
1
)
and
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
is defined as:
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
=
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\displaystyle