| 21. | Not all functions have inverse functions.
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| 22. | Such an inverse function exists if and only if " f " is bijective.
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| 23. | This is the inverse function theorem.
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| 24. | Such functions do not have an inverse function, but they do have an inverse relation.
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| 25. | Also, the inverse function theorem and implicit function theorem hold as in the one variable case.
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| 26. | The same conclusion holds for general Lie groups using the manifold version of the inverse function theorem.
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| 27. | It follows that the inverse function G = F ^ {-1 } is differentiable everywhere and that
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| 28. | Likewise, some authors use square brackets to avoid confusion between the inverse image and the inverse function.
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| 29. | Stated another way, the inverse function gives the solution for " x " of the equation
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| 30. | Which is meaning inverse function Preceding talk ) 06 : 16, 4 September 2015 ( UTC)
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