Question 1190910

{{{f(x)=8-x^3}}}, {{{x>=0 }}}

a.

<a href="https://ibb.co/QD4WHJs"><img src="https://i.ibb.co/QD4WHJs/download.png" alt="download" border="0"></a>



b.

<a href="https://ibb.co/fnMbPJL"><img src="https://i.ibb.co/fnMbPJL/desmos-graph-11.png" alt="desmos-graph-11" border="0"></a>

note: orange line should be dashed line

c.
inverse of {{{f(x)=8-x^3}}}, {{{x>=0}}} will be:

{{{f(x)=y}}}

{{{y=8-x^3}}} ....swap variables

{{{x=8-y^3}}}

{{{y^3=8-x}}}

{{{y=root(3,8-x)}}}

{{{f^-1(x)=root(3,8-x)}}} , {{{x>=0}}}