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# Write $fog, \: if \: f : R \rightarrow R$ are given by $f(x) = 8x^3$ and $g(x)=x^{\large\frac{1}{3}}$

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• Given two functions $g:A \to B$ and $f:B \to C$, then composition of $g$ and $g$, $fog:A \to C$ by $fog (x)=f(g(x))\;for\; all \;x \in A$
$f(x)=8x^3$
$g(x)=x^{\large\frac{1}{3}}$
$fog=8(x^{\large\frac{1}{3}})^3$
$\;\;\;\;\;\;=8x$
answered Nov 8, 2013