i want to know how calculate the inverse of x+sin(x).
thanks
We can show the inverse exists by working with the fact that $\displaystyle ( x + \sin x) ' > 0$ for $\displaystyle x\not = \pi n$ and $\displaystyle 0$ for $\displaystyle x=\pi n$. Therefore, the function is increasing. But to since the inverse you need to be able to solve the equation $\displaystyle y + \sin (y) = x$. I do not think there is a "nice" way to solve this equation.