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f(x) = y = 2x^3 +1

y - 1 = 2x^3

x^3 = (y-1)/2

x = ∛(y-1)/2

intercambiando variable

y = ∛(x-1)/2

f-¹(x) = ∛(x-1)/2 <=======

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Hola

y = 2 x^3 + 1

2 x^3 = y - 1

x^3 = (y - 1)/2

x = ∛[ (y - 1)/2 ]

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función inversa

y = ∛[ (x - 1)/2 ]

https://www.youtube.com/watch?v=Y5zCUpQy6Rw