Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 93350 by abony1303 last updated on 12/May/20

$$f\left(x\right)=x^3+2x$$$$Find:f^{-1}\left(x\right)$$

Answered by Rio Michael last updated on 12/May/20

$$f\left(x\right)=x^3+2x$$$$\mathrm{let}y=f\left(x\right)\Rightarrow y=x^3+2x\mathrm{or}x=y^3+2y$$$$\Rightarrow y=\sqrt[3]{\frac{9x+\sqrt{81x^2+96}}{18}}+\sqrt[3]{\frac{9x-\sqrt{81x^2+96}}{18}}=f^{-1}\left(x\right)$$$$\mathrm{by}{\mathrm{cardano}}^{\prime }\mathrm{s}\mathrm{method}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com