Question-168210

Question Number 168210 by mathlove last updated on 06/Apr/22

Answered by mr W last updated on 06/Apr/22

y = x^{3} + e x

x^{3} + e x - y = 0

x = \sqrt[3]{\sqrt{\frac{e^{3}}{27} + \frac{y^{2}}{4}} + \frac{y}{2}} - \sqrt[3]{\sqrt{\frac{e^{3}}{27} + \frac{y^{2}}{4}} - \frac{y}{2}}

f^{- 1} (x) = \sqrt[3]{\sqrt{\frac{e^{3}}{27} + \frac{x^{2}}{4}} + \frac{x}{2}} - \sqrt[3]{\sqrt{\frac{e^{3}}{27} + \frac{x^{2}}{4}} - \frac{x}{2}}

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