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How do I find the inverse of this problem?

How do I find the inverse of this problem?-example-1
User Fka
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\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.

User Ben Coppock
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