Question

Consider the function $f(x)=8x^{3}1.$ If $f(g(x))=x$ and $g(f(x))=x,$ find $g(x)?$

Provide your answer below:

$g(x)=$

$7$

$8$

$9$

$x$

y

$x^2$

$\sqrt[\phantom{2}]{1}$

$4$

$5$

$6$

$$

k

$x$

$x$

$\sqrt[10]{?}$