Find $g o f (x)$ , if $f (x) = 8 x^{3}$ and $g (x) = x^{1 / 3}$ .

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Solution

$f (x) = 8 x^{3}$
$g (x) = x^{\frac{1}{3}}$
$g o f (x) = g (f (x)) = g (8 x^{3})$
$\Rightarrow g o f (x) = {(8 x^{3})}^{\frac{1}{3}} = 2 x$

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