How do I find the inverse of this problem?

Question

asked Feb 6, 2021 66.4k views

1 Answer

Ben Coppock · Answer 1 · 2021-02-12T19:58:18+0000

$\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Inverse of real function.

Let's consider here, g(n) = y ,

so we get as,

$y = \sqrt[3]{ (n - 1)/(2) }$

no, cubing the power both side we get as,

=>

${y}^(3) = (n - 1)/(2)$

now,

$2 {y}^(3) = n - 1$

so finally, we get as,

=>

$n = 2 {y}^(3) + 1$

hence,here, n = inverse of the g(n) function.

so,

g^-1 (n) = 2y^3+1.