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Comments:
<0> same with f
<1> The graph of a function ***ociates the input values x with the output values y.
<2> i understand that part. i guess im having a hard time putting into words what exactly is confusing me. but i think i got it.. when it asks for (g o f)(2), you find the value of f at 2, which is 3. Then you look at g at x=3, which is 1, so the answer is 1
<1> If you look at the graph of f in your picture, when x = 0, y = f(x) = 1.
<1> That's right.
<1> Since (gof)(2) = g(f(2)), you just need to work from the inside out, find f(2). Now that you have that, you can find g(f(2)).
<2> ok, (f o f)(2) is confusing me. im looking at 2 for f, so x=3. but thats not the answer
<1> Okay, this is the same thing: (fof)(2) = f(f(2)) = f(3) = ?
<2> oh oops its 4
<3> lol
<3> rofl
<1> Appleman1234: What?
<3> Chris931 and functions of functions
<0> lets talk about calculus
<4> let's not
<3> lol
<0> why not?
<5> calculus is cool
<4> i'm a fan of enjoying things, that's why not.
<5> as long as you don't have to do physics problems
<3> let's talking about the integrals of chaotic functions as they approach asymptotes :)
<0> it doesnt bother me
<0> i wont understand what you are talking about though
<1> I'm going to go with no. Unless they're Lebesgue (sp?) integrals. I've forgotten all of that.
<0> because i haven't learned calculus
<3> Chris931: http://mathforum.org/library/drmath/sets/select/dm_func_composition.html
<2> ok, i got it. (g o g)(2) is 4 and (f+g)(4) is 9
<2> thanks
<1> I'm going to hazard a guess from memory that f(x) = x + 1 and g(x) = (x-2)^2.
<3> and http://en.wikipedia.org/wiki/Function_composition
<1> If so, I agree with what you wrote.
<2> oh yeah, i know how to do functions algebraiclly without a problem. Just the graph was really throwing me off. I didnt know what exactly i was supposed to do and the steps to take. but i got it now, thanks
<3> Chris931: if given a graph
<3> get the functions
<3> and your memory is correct
<0> opencourseware is awesome
<1> Wow, my memory is usually crap.
<3> :0
<3> :)
<2> are you guys professors? this is my first time on here.. and with the message we get about entering our question and possibly waiting a long time, i thought i was just supposed to enter the question and someone would eventually get to me about it
<6> okay, "y is nonnegative" hwo do u express that in inequality notation?
<7> what message is that?
<2> i dont remember, its gone now. its either in this chat or a warning before i enter
<0> im not a professor
<7> hmm, hoiw did you get to this place?
<2> ooh its in the channel description: "Ask your question and wait :), some questions take a LONG time to figure out"
<2> someone told me about it
<7> cool, where is that description?
<0> have you used irc before?
<2> http://searchirc.com/dir/Education-and-Schools/Education-Discussions
<2> nope, first time. didnt even know what it was when someone was telling me to go here
<0> its just a chat room
<7> bizarre
<7> this is a channel, not a chatroom
<0> i understand but not everyone knows the term 'channel'
<6> okay, "y is nonnegative" hwo do u express that in inequality notation? sorry for repeat :-X
<4> good god, there's a website telling people to come *here* for *help*?
<7> the solution is for them to learn
<4> that's cruel, man.
<4> cruel.
<6> haha
<0> lol
<1> Heh.
<2> what is irc?
<1> Internet relay chat.
<0> wiki it
<2> oh ok. so everyone here are just students or teachers or what?
<4> or what.
<7> people are all sorts in here, didnt you know irc is full or perverts and child-molesters?
<2> no idea, i've never heard of it
<2> i thought this was some kind of homework help room with teachers
<4> this is not.
<4> this is the internet.
<6> haha
<6> the internets. *
<7> this is just a place where people talk aboiut maths, this may include helping people understand stuff
<0> internets!
<0> dial up the AOL!
<4> mostly we just belittle people.
<7> join ##help (or whatever it redirects to nowadays) for more general irc help
<2> yeah i see you're good at that hilander. anyway, thanks for the time, later
<4> i'm glad you've noticed.
<4> i'd hate to go unappreciated.
<6> gotta love irc
<6> he is like freshmeat
<4> i'd feel bad about how we treated him
<4> thank goodness for my sociopathy
<6> haha, you really didnt treat him too bad
<6> it couldve been alot worse
<1> It would have been worse on efnet.
<7> everything is worse on efnet
<4> nah, we'd have just banned him
<6> or DCC'd him AllMathAnswers.EXE
<0> lol
<8> ha man, i always miss it when funny things happen.
<9> hi...
<9> i have a question: does the incorporation of functions bring anything new to first-order logic?
<9> i mean, surely functions are just a special case of relations?
<10> @quote fear
<11> @arr
<11> mm
<12> can someone recommend a not-so-rigourous derivation of the fourier transform? I'm not understanding my text book
<4> so, if mbot isn't here, how is it supposed to respond to commands?
<12> if a tree falls in the forest and no one is there to hear it, did the tree really fall?
<13> Is it true that if there's more variables than equations in a matrix it's insolvable?
<14> Moraiat: not always
<13> is there any way I can post a matrix so someone could give me a hand with it? it's 4x3
<14> [[1 2 3 4] [3 4 4 4] [2 4 4 2]]
<13> kk, one sec
<13> [[1 0 8 -5 6] [0 1 4 -9 3] [0 0 1 1 2]]
<13> it asks me to solve the equation, not sure what it means in this case
<14> that's 5x3
<13> er.. sorry. I wasn't counting the constant
<14> i'm not sure how to do it then
<14> yo uhave too many variables
<13> yeah, thought so. Any idea what it means by the solution?
<13> general statement?
<15> It means find all solutions
<15> in terms of probably at least two parameters
<13> like x3 + x4 = 2?
<15> I suppose so :)
<13> lol, I should not be taking this course...
<15> I'm not sure -- is that an augmented matrix?
<13> yeah
<15> then yes
<16> ok so im having some trouble organizing a proof im doing.....lets say i have some little thing i need to prove in order to help prove the big thing...how do i arrange that exactly so its easy to read?
<15> you might need only one parameter then
<13> im not sure exactly what you mean by parameter
<15> Moraiat: Well, suppose we say that for any t in R, we can set x4 = t, and then x3 (by that last equation) will be equal to 2 - t.
<13> okay
<15> similarly, we'll be able to obtain solutions for x1 and x2, and say something like (f(t), g(t), 2-t, t) is a solution for every t.
<13> R means the system?
<13> or row?
<13> could I say that x3 + x4 = s?
<13> er... x3 + x4 = 2...
<15> Moraiat: real numbers
<15> Moraiat: or I suppose this could be over some other field, in which case you'd want it to be that field
<13> K, I think I know the solution, I'll get back to you in a sec
<17> Could someone help me with math homework :|?
<17> http://www.gsarchives.net/aaron/homework/geometry-lessons1-11-2.png
<17> number 18. I'd really appreciate it
<13> the answer is exactly 7
<18> Turkey_Pwner: whats the measure of the angle of a straight line?
<17> 180. I figured it out. 80
<17> I got help in another channel
<17> thanks @_@
<13> whoa, nice fro dude
<13> Cale: x = "6-(2-t)+5t" x2 = "3-4(2-t)+9t" x3= "2-t" x4=t
<13> does that sound about right?
<19> hi
<13> oops, forgot a coefficient on the x=
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