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Mathematics
Problem
Prove that the functions
f
(
x
)
=
x
3
+
2
f(x)=x^3+2
f
(
x
)
=
x
3
+
2
and
g
(
x
)
=
x
−
2
3
g(x)=\sqrt[3]{x-2}
g
(
x
)
=
3
x
−
2
are inverses of each other by verifying both compositions
f
∘
g
f \circ g
f
∘
g
and
g
∘
f
g \circ f
g
∘
f
.
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