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Need a complete list of functions and thier inverses 
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#1
Feb613, 05:11 PM

P: 179

I can't find this anywhere on google.
I'm looking for a complete list of functions and their inverses. Here's a partial list as an example *, / +,  e^x, ln(x) sin(), sin^1() d/dx, ∫ etc.. Why isn't there a list of all of them? You would think that some mathematician would find joy in compiling one... 


#2
Feb613, 05:24 PM

P: 784

Assuming......just assuming.......that you aren't trolling.
There are an infinite amount of functions, and I'm going to take a gander and say that the vast majority of them do not have inverses. There are, however, a relativity short list of 'common' functions, and I'm sure it is very easy to google a list of their inverses, though you've listed a number already. I'll stress here that neither ##\frac{d}{dx}## nor ##\int## are functions, though they are inverse operations. Nor are multiplication, division, addition or subtraction, they are all operations. 


#3
Feb613, 05:25 PM

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P: 18,346

There are [itex]2^{2^{\aleph_0}}[/itex] functions from [itex]\mathbb{R}\rightarrow \mathbb{R}[/itex]
This means that the number of functions from [itex]\mathbb{R}[/itex] to [itex]\mathbb{R}[/itex] is not only infinite, but a number of degrees above the smallest possible infinity. Thus, I fear that a complete list of functions would not be very feasible. If you want a list of all possible function between all possible sets. Then I'm afraid that they don't even form a set. The number of functions form a proper class. This means that is quite larger than anything mathematics can handle. So a list would be rather impossible. 


#4
Feb613, 05:28 PM

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P: 18,346

Need a complete list of functions and thier inverses



#5
Feb613, 05:29 PM

P: 179




#7
Feb613, 05:43 PM

P: 179

no it's not. There are a few dozen we learn in algebra, another dozen from trig, only 2 from calc (d/dx and ∫ ), diff eq may add more to the list but I didn't notice any. you see? Get real. The question is not that hard. A list of opposite functions would be handy to have when solving for a variable in a complex algebraic equation.



#8
Feb613, 05:47 PM

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P: 18,346




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