Alpha, Beta Gamma strike again

Algebra Level 5

If $\alpha ,\beta,\gamma$ are the roots of the equation $\displaystyle x^3-x-1=0$ , then determine the equation whose roots are $\dfrac{1+\alpha}{1-\alpha},\dfrac{1+\beta}{1-\beta},\dfrac{1+\gamma}{1-\gamma}$ .