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Do inverse function of modulus exist?

Updated: 4/28/2022
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12y ago

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No.

The modulus function maps two values (except 0) from the domain (-x, and x) to one value (+x) in the range or codomain. This means that for the inverse mapping each value in the new domain (the original codomain) is associated with two values in the new codomain (original domain). A function cannot map one value to more than one.

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12y ago
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Q: Do inverse function of modulus exist?
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The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.


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