anonymous
  • anonymous
I have to determine the domain and range of the f(g(x)) and g(f(x)) f(x)=1/x+3 and g(x)=-2/x
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
hey lokisan, do you know what is the rank after HERO called? I know there are a few more ranks, but I have no idea what are they called, so any idea? have you ever seen anyone on openstudy ever with a higher rank than hero? just asking SORRY papamore for posting this here
anonymous
  • anonymous
Hi BMF - have no idea. I guess we'd find out sooner if people who get help actually clicked the link!
anonymous
  • anonymous
I saw you had some kind of debate with some guy called, I Newton or something...how did that pan out?

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anonymous
  • anonymous
=D that was interesting =D he was basically saying that he is smarter than anyone here because he can do STEP II problems and stuff like that., And he was sayin that Khan Academy founder is a "average intelligent jerk". I told him that that "avg intell jerk" got 2 million dollar google award and microsoft award and has helped more than a million students in the world study maths, but that did not change his mind.
anonymous
  • anonymous
pfft, STEP II
anonymous
  • anonymous
loser
anonymous
  • anonymous
I thought that Khan guy went to MIT at some point
anonymous
  • anonymous
brb
anonymous
  • anonymous
I dont know about MIT but I am sure that he has 5 degrees and also worked at a hedge fund or something, but then the point that he made an online training resourse that is 100% free and has helped millions is enough for me. I mean, I learned stuff in 1 hour that usualy takes weeks to learn in school. It is great for me, especially some physics and finances stuff.
anonymous
  • anonymous
he has a nice video now in the front page of the http://www.khanacademy.org features Bill Gates at the end =D
anonymous
  • anonymous
Yeah, I've seen it. I send people to his site sometimes because the visuals are good, and the explanations are good enough.
anonymous
  • anonymous
yeah, I am not saying the teaching resource is the best, but hey, it does the work and it does it for free for anyone who is willing to learn. Also, the practice software is just GREAT for highschool kids from grade 1 all the way to grade 12.
anonymous
  • anonymous
Practice software? I haven't seen that.
anonymous
  • anonymous
PS I'm going to be answering this question...
anonymous
  • anonymous
really? it is like the main point of the site, you keep completing questions until you are stuck, then you watch a vid, and try again, and once you are good at a topic, you move on to the next one
anonymous
  • anonymous
just go to the website and click on PRACTICE button, you will be taken to a mind map of maths topics from addition all the way up to derivation and so on. click on any of those and see how it works, also, try the "I'd like a hint" button, to see how the software solves problems step by step
anonymous
  • anonymous
it is really awesome
anonymous
  • anonymous
paramore4lif3, you're asked to consider the domain and range of composite functions. For the first one, f(g(x)), you have,\[f(g(x))=\frac{1}{g(x)}+3=\frac{1}{(-2/x)}+3=-\frac{x}{2}+3\]This is the equation of a straight line. It can take all real values of x, and its image (range) is also, all real x. So the domain and range of f(g(x)) is,\[D= \mathbb{R}\]\[R= \mathbb{R}\]
anonymous
  • anonymous
For the second composition, you have g(f(x)):\[g(f(x))=-\frac{2}{\frac{1}{x}+3}=-\frac{2x}{1+3x}\]This function can take all real values of x, except for x=-1/3, for here, the denominator is 0 and the function is undefined. To find the range, we can use the fact that the domain of the inverse function of g(f(x)) is equal to the range of g(f(x)). Call the composite above, h(x). By the definition of the inverse function,\[h(h^{-1}(x))=-\frac{2h^{-1}(x)}{1+3h^{-1}(x)}=x \rightarrow h^{-1}(x)=-\frac{x}{3x+2}\]The domain of the inverse function here is all of x real, except for x=-2/3, for here, the denominator is zero. From what was said above, the domain of the inverse is equal to the range of the original (i.e. the range of h(x) = g(f(x))), and so the range of g(f(x)) is all x real except for x=-2/3. \[D=\mathbb{R}-\left\{ -1/3 \right\}\]\[R=\mathbb{R}-\left\{ -2/3 \right\}\]
anonymous
  • anonymous
Finished bmf
anonymous
  • anonymous
:) i wrote some stuff above
anonymous
  • anonymous
bmf, if you want to talk, post a question or something to start a thread. paramore4lif3 is probably ticked ;)
anonymous
  • anonymous
ok, will do that next time
anonymous
  • anonymous
I see the exercises.
anonymous
  • anonymous
It's pretty good.
anonymous
  • anonymous
But what if I want to train people for STEP? lol
anonymous
  • anonymous
do you like the mind map with all the topics interconected? (used google maps LOL)
anonymous
  • anonymous
I think it's good enough for most school kids.
anonymous
  • anonymous
well, it is not ready for STEP yet, because its main target is high school topics, for the majority, the multitudes. the most difficult stuff that you can currently find there is http://www.khanacademy.org/#Calculus and http://www.khanacademy.org/#Differential%20Equations
anonymous
  • anonymous
I don't find anything wrong with his stuff. He doesn't do things the way I would sometimes, but who cares? Like you said, people can watch and get a handle on things in a couple of minutes.
anonymous
  • anonymous
yeah, thats the thing, a dedicated grade 8 student could learn almost everything he will need in grades 9 to 12 in like a month
anonymous
  • anonymous
So did you get any fans today?
anonymous
  • anonymous
no, but i dont care anyway
anonymous
  • anonymous
aw
anonymous
  • anonymous
i dont even spend much time here, and dont help often, so it is almost imposible for me to get fans. =D but then I am studying myself, for entrance examinations to a university. And it DAMN hard to get in, only one out of every ten applicants get in
anonymous
  • anonymous
Yeah, you said. When are the exams?
anonymous
  • anonymous
next tuesday
anonymous
  • anonymous
:)
anonymous
  • anonymous
You ready?
anonymous
  • anonymous
What do they test?
anonymous
  • anonymous
brb
anonymous
  • anonymous
well, I am almost ready :) everything from high school, it shouldn't be that hard, maybe some derivation, functions, and stuff like that
anonymous
  • anonymous
btw, i just noticed on the khan academy visitors counter that today, since midnight, 9872 people have watched a video lesson =D. Imagine that, like 10000 people learning something good in one day. not bad
anonymous
  • anonymous
and today is actually a bad day, yesterday i noticed that there was about 32000 lesson views
anonymous
  • anonymous
you're in love with that site :)
anonymous
  • anonymous
not realy, unfortunately it only covers things up to a rather basic level, so I will not be able to use it for long..... but, IT IS GREAT. I will advertise this site to every one. I know so many kids who would benefit from this. And the game like point and trophy/award systems is quite addictive, kids actually start to solve maths instead of games LOL
anonymous
  • anonymous
Yeah it's good. What's the course you want to do at university?
anonymous
  • anonymous
at first I wanted to do electronics, and later computer science, but then, on the last week before application, I changed my mind and signed up for Media Engineering :)
anonymous
  • anonymous
Oh, that's right. Did you drop out of university or something?
anonymous
  • anonymous
Hope I didn't say anything to tick you off.
anonymous
  • anonymous
no LOL, i just wrote that for fun =D sometimes i just say some weird stuff for fun :) oh, and my internet was stuck just now
anonymous
  • anonymous
and I usually dont get ticked off =D even if ppl say really bad stuff :)
anonymous
  • anonymous
cool
anonymous
  • anonymous
just going to answer a question...
anonymous
  • anonymous
ok
anonymous
  • anonymous
btw, do you play computer games? =)
anonymous
  • anonymous
I guess not, because you would be playing right now =D some of those MMORPGs are VERY addictive... I wish I had time...
anonymous
  • anonymous
No, I don't really play computer games :(
anonymous
  • anonymous
you must have a strong will then, because I love MMORPGs like EVE Online so much I could not stop even if I wanted to :( it is actually sad, - addiction to MMORPGs :(
anonymous
  • anonymous
the only reason I dont play it now is because I have exams soon, so I have to study and keep my mine clear for some time
anonymous
  • anonymous
I might quit for good, if university will actually require a lot of time...
anonymous
  • anonymous
University will require a lot of time ;)
anonymous
  • anonymous
then I am quiting, but it is very hard... I wish I never started
anonymous
  • anonymous
EVE Online has like 300 000 players in ONE universe.... it is pretty cool and addictive.... sometimes I feel like just playing all the day
anonymous
  • anonymous
I wish MMORPGs were never created... they suck too much precious time
anonymous
  • anonymous
Yeah, you should lay off them...and study/exercise.
anonymous
  • anonymous
thats what I will do
anonymous
  • anonymous
Good...you're a funny person ;)
anonymous
  • anonymous
:) because??? feel free to tell me =D
anonymous
  • anonymous
I don't know. It's just an impression.
anonymous
  • anonymous
well, maybe I spend too much time indoors infront of my PC
anonymous
  • anonymous
lol, maybe!
anonymous
  • anonymous
I have been quite antisocial all my life, unfortunatelly :(
anonymous
  • anonymous
so, I am a bit strange in some areas
anonymous
  • anonymous
but I am slowly improving =)
anonymous
  • anonymous
you seem okay to me :-)
anonymous
  • anonymous
so, are you doing university?
anonymous
  • anonymous
finished
anonymous
  • anonymous
nice, what degree/subject?
anonymous
  • anonymous
advanced degree in pure mathematics and physics
anonymous
  • anonymous
anyways, I'm exhausted. It's after 2am and I have a lot of traveling to do tomorrow :( Have to go to bed. Study hard and stay off the games!
anonymous
  • anonymous
wow, i am impressed
anonymous
  • anonymous
ok, bye
anonymous
  • anonymous
bye:)

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