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## Homework Statement

Determine the inverse function for the function,

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

I think i know the steps but i want to know if my answer is correct

1.Change f(x) to f(y)

2.Re write so x=f(y)

3.Swap x and y variables

4.replace y with f^-1(x)

## The Attempt at a Solution

1.y=((2x+1)^3)-2

2.cube sqrt y=(2x+1)-2

=cube sqrt y+2=2x+1

=cube sqrt y+1=2x

=(cube sqrt y+1)/2=x

3.y=(cube sqrt x+1)/2

4.f^-1(x)=(cube sqrt x+1)/2

Is this right???? Can someone please tell me how to do it if its wrong?