Figuring out the domain of a function
Question by dmlaver1: What is an “Ordered Domain”, apparently integers and real numbers are examples of ordered domains.?
I’m reading a wonderful book on patternist philosophy but I’m having trouble with the concept of an “ordered Domain”. The author writes: “I mean a process whose inputs are processes and whos outputs are entities belonging to some ordered domain.” Any help would be greatly appreciated. Thanks.
Best answer:
Answer by Ben
This is a bit of a guess, but I would assume he means any set which has an ordering on it. That is, if you’re given a bunch of elements, you can list them in order. So the integers and reals are ordered, but the complex numbers and matrices are not (how do you decide if one matrix is “bigger” than another? You could make up some criterion, but there isn’t a generally accepted way to do it).
EDIT: I forgot to mention that it doesn’t seem like he’s using “domain” in the usual mathematical sense, just in a casual sense.
What do you think? Answer below!


Thanks for the help!
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thank you so much sir . I am overwhelmed with your response. Now I know that zero is allowed but not n/0. I would like to be honest. This video helped me so much !!!
@josuanette f(x) = x^2 Domain {x E (All reals)}
the reason is f(0) = 0^2 = 0
0 is a valid answer, if I were to graph this I would get (0,0) as a point
Sir i am confused with the first example f(x)=x^2. What if you will solve for f(0) ? that would make it 0^2 which is = to 0 right? then the domain should be {xER ecept 0} is that correct. Pls help me iam confused. Thanks
This video is good, but the exercises to go with it are a little lacking challenge. They always produce the same general function, eg.
f(x) = 1 / sqrt(5 – |x|)
Always that kind, but with a different number to be subtracted from x. The answer is always the same pretty much. Maybe this could do with some work, when you have the time to do so
Thanks again though for your great videos and service you are providing.
Hey sal can you please do a video on inverse functions…plz
i dont understand near the end, for the absolute value of x, he says that x can be the same as -3 or less than. So if that is true for example, -4-3 = -7, which is a negetive number. How does this comply with the domain? thanks
i got it till the end :S
because in the question got the modules x , any x in the modules also will become positive value.
@Marco027 no, because absolute values do not have a negative value.
Im sorry wouldnt X<-3 in the absolute value one..be wrong though..becuase.. you cant have any negative inside the square root..?
he uses a pen tablet
THANKS very very much really helpfull!!
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u should procceed u will help alot of ppl
Thanks a lot!
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Very helpful, thanks!
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crap I CANT FIND WUT I WANT!!.. so my homework goes a little like this ..Find the range(dependent),R, of every funcion given the domain (independent),D.then here’s #9-f(x)=x(cubed)+3 then to the side D={-3,0,3}..HELP?!?!=[..don't get it..i have 2 turn this in 2morrow..will make sure 2 pay attention in class latr..bt for now HELP PLEASE!!=]
hey i have a problem that i reely dont get…..f{x} = kx/3x+5, x does not equal negative 5/3 and f{f{x}} =x satifies f{x} for all real vaulues of x expect negative 5/3 what is the value of k