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#101 2012-01-23 09:08:59
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Ohh right. So what happens to 1? Doe that get subtractedm or replaced by (y-1) ??
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#102 2012-01-23 09:20:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Anything that is over 1 is the number itself.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#103 2012-01-23 09:40:21
- BlitzBall
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- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Ohh i see.
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#104 2012-01-23 09:45:18
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Since x is also like a number then
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#105 2012-01-23 09:50:23
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Yea I get your example 
Its bringing back memories.
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#106 2012-01-23 09:54:11
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Okay, we are here
The right side become just 2.
Now to get the x by itself we need to move the (y-1) to the other side. Since the right side is really x * (y-1) that is a multiplication. The inverse operator is division. So to move it we use a divide by (y-1) to both sides.
Are you okay up to here?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#107 2012-01-23 10:09:24
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
hmm..I'm not too certain on line 3. :'(
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#108 2012-01-23 10:12:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Hi;
What I did was divide by (y-1) on both sides.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#109 2012-01-23 10:16:07
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
OHH i get it.
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#110 2012-01-23 10:20:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Okay, then we are almost done.
On the left side you see that there is a (y-1) on top and bottom we can cancel them. (y-1)/(y-1)= 1
That is what we are left with.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#111 2012-01-23 10:25:22
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Ohhh I see. This looks quick a long process to solve this problem.
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#112 2012-01-23 10:29:49
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
It only looks tough the first time you see it. IT had some differences in it. Did you understand some of that?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#113 2012-01-23 10:33:54
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Yes I did. Just hope this doesn't pop up in the exam tomorrow.
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#114 2012-01-23 10:35:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Why not? You should be a little ready for it. Just relax and remember what you have learned.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#115 2012-01-23 10:38:38
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
True. I am ready for it, but there are bits that are too complex. I'm going to do my best for it.
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#116 2012-01-23 10:43:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Hi;
I wish you good luck. Please let me know how you do.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#117 2012-01-23 10:56:47
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Thank you . Oh One last question. In this set: {(2,2),(1,3),(2,3),(3,3)} This isn't Reflexive because there's no (1,1)? Just double checking.
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#118 2012-01-23 11:05:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
For what relation?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#119 2012-01-23 11:08:36
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Just checking if it's a reflective relation or not. In here: A={1,2,3} and the sets are set out as {(2,2),(1,3),(2,3),(3,3)}. Does this prove it's not Reflexive because (1,1) isn't in that set?
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#120 2012-01-23 11:09:42
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Yes, it is not reflexive.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#121 2012-01-23 11:13:20
- BlitzBall
- Member
- Registered: 2012-01-07
- Posts: 92
Re: Algebra help! Inverse and composition functions
Okay. thank you once again. Thanks for all the help bobby and Mathisfun.
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#122 2012-01-23 11:19:22
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Algebra help! Inverse and composition functions
Good luck and do well!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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