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An even function cannot have an inverse.

If f(x) = y, then if f is an even function, f(-x) = y.

Then, if g were the inverse function of f, g(y) would be x as well as -x.

But a one-to-many relationship is not a function.

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9y ago
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9y ago

The inverse won't be a function, unless you restrict it to a certain range of numbers.

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Q: What is the inverse of an even function?
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What is the relationships between inverse functions?

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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