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Math Help - inverse of x+sin(X)

  1. #1
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    Thumbs down inverse of x+sin(X)

    i want to know how calculate the inverse of x+sin(x).
    thanks
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  2. #2
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    Quote Originally Posted by horak View Post
    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 ( x + \sin x) ' > 0 for x\not = \pi n and 0 for x=\pi n. Therefore, the function is increasing. But to since the inverse you need to be able to solve the equation y + \sin (y) = x. I do not think there is a "nice" way to solve this equation.
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