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What is the point of inverse functions?

I understand what they are and how to work with them, but do they have any point? It seems like anything we use the inverse function for could really just be used with the original function. Are there any real-life applications of inverse functions, besides in trig?

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  • 10 years ago
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    In linear algebra if a matrix is invertible, then a lot of properties arise which is so important that a theorem called the invertible matrix theorem must be memorized to pass the class. Finish calculus 3, and get into linear algebra, then you'll see the full extent of the power of a set of functions that are invertible. If i list them here, it would be more than 100 pages long.

    So do some research on your own. The basic point of an inverse function is that it is a property, and it is up to you to give such property a significance which if you do can greatly help you solve some interesting problems in engineering, and physics that consist of millions of variables and equations.

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