Application Of Derivatives

If the function \(f:(-\infty,-1] \rightarrow(a, b]\) defined by \(f(x)=e^{x^3-3 x+1}\) is one - one and onto, then the distance of the point \(P(2 b+4, a+2)\) from the line \(x+e^{-3} y=4\) is :