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## Homework Statement

Find the inverse of this function

[tex]f(x) = x^3+2x-1[/tex]

## Homework Equations

## The Attempt at a Solution

I'm not able to state the function explicitly.

[tex]f(x)=x^3+2x-1[/tex]

[tex]y=x^3+2x-1[/tex]

(switch all x's and y's to find inverse)

[tex]x=y^3+2y-1[/tex]

[tex]y^3+2y=x-1[/tex]

[tex]y(y^2+1)=x-1[/tex]

[tex]y=\frac{x-1}{y^2+2}[/tex]

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