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-- Mathematics - Section B1
Relations and Functions
Let R be the set of real numbers. $f:R→R$ is given by $f(x)=(3-x^3)^{1/3}$, then $f^2$=composition of f with itself=
1/x^3
x^3
x
(3-x^3)
$f(f(x))=f((3-x^3)^{1/3})=((3-(3-x^3)^{1/3})^3)^{1/3}=(x^3)^{1/3}=x$