If $f (x) = 8 x^{3}, g (x) = x^{1 / 3}$ , then fog (x) is

8^{3} x

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(8 x)^{1 / 3}

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8 x^{3}

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8 x

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Solution

The correct option is B $8 x$
$f (x) = 8 x^{3}$
$g (x) = x^{1 / 3}$
$f o g (x) = f [g (x)]$
$= f [x^{1 / 3}]$
$= 8 {[x^{1 / 3}]}^{3}$
$= 8 x$

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