Question

I need help with question 6 i just need answer

Answer 1

Determine the functions if they are inverse of each other by composite method:

`\begin{gathered} f(x)=(1)/(x^3)+3 \\ g(x)=\sqrt[3]{(1)/(x-3)} \end{gathered}`
`\begin{gathered} \mathrm{A\: function\: g\: is\: the\: inverse\: of\: function\: f\: if\: for}\: y=f\mleft(x\mright),\: \: x=g\mleft(y\mright) \\ y=(1)/(x^3)+3 \\ \text{replace x with y} \end{gathered}`

Hence the functions are inverse of each other

Therefore the correct answer is Yes