i want to know how calculate the inverse of x+sin(x).

thanks

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- Dec 17th 2008, 05:18 AMhorakinverse of x+sin(X)
i want to know how calculate the inverse of x+sin(x).

thanks - Dec 17th 2008, 12:43 PMThePerfectHacker
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.