Function Decomposition
Given the composition
h
(
x
)
=
f
(
g
(
x
)
)
\displaystyle {h}{\left({x}\right)}={f{{\left({g{{\left({x}\right)}}}\right)}}}
h
(
x
)
=
f
(
g
(
x
)
)
If
h
(
x
)
=
(
x
+
9
)
3
\displaystyle {h}{\left({x}\right)}={\left({x}+{9}\right)}^{{3}}
h
(
x
)
=
(
x
+
9
)
3
and
f
(
x
)
=
x
3
\displaystyle {f{{\left({x}\right)}}}={x}^{{3}}
f
(
x
)
=
x
3
, find the function
g
(
x
)
\displaystyle {g{{\left({x}\right)}}}
g
(
x
)
.
g
(
x
)
\displaystyle {g{{\left({x}\right)}}}
g
(
x
)
=
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