
Actually Welcome to the Concept of the Inverse of real function.
Let's consider here, g(n) = y ,
so we get as,
![y = \sqrt[3]{ (n - 1)/(2) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/v9d3t56djwq1smrpaadnnf9t5arulu2a1f.png)
no, cubing the power both side we get as,
=>

now,

so finally, we get as,
=>

hence,here, n = inverse of the g(n) function.
so,
g^-1 (n) = 2y^3+1.