korosh23
  • korosh23
Calculus 12 Question! Please explain the part I highlighted. Thank you. Wait for the attachment to load
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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korosh23
  • korosh23
1 Attachment
korosh23
  • korosh23
There is the solution to the answer, but I don't understand it. Could you please explain?
anonymous
  • anonymous
When the x makes the denominator 0, it is not included in the domain. \[\frac{ 1 }{ x(x-1) }\]

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anonymous
  • anonymous
x=? makes it zero.
anonymous
  • anonymous
and x=1
anonymous
  • anonymous
i think the explanation you need might be just that \[(-\infty, 0)\cup (0,1)\cup (1,\infty)\] is just a really long winded way of saying all numbers except \(0\) and\(1\)
korosh23
  • korosh23
yes x-1=0 x=1
anonymous
  • anonymous
1(1-1)=0
korosh23
  • korosh23
@satellite73 right, but I don't understand how? the way it is written is confusing
korosh23
  • korosh23
@shalante I am following you. Go ahead
anonymous
  • anonymous
\[(-\infty,0)\] means \[x <0\]
anonymous
  • anonymous
meaning x can 0.0001 or -0.0001 but not at 0
anonymous
  • anonymous
(0,1) means it can be from 0.0001 to 0.9999 but not at 1 or 0
anonymous
  • anonymous
\[(1,\infty)\] means it can be from 1.0001 to infinity.
korosh23
  • korosh23
Ok and what does the U shape represent?
anonymous
  • anonymous
only 0 and 1 makes it undefined So we wont include \[x \le0\] or \[x \le 1\] U is just a set of interval
anonymous
  • anonymous
A gap between undefined values.
korosh23
  • korosh23
But in this case it has to be x cannot equal those numbers. Since any number less or more than those would be defined. Am I right?
korosh23
  • korosh23
@Shalante, one more question. If something is like x cannot equal 1, can we say the npvs or non permissible values are 1
anonymous
  • anonymous
For the domain?
korosh23
  • korosh23
Yes I believe. Like saying x cannot equal 1. So npvs of x are 1. IS it correct?
anonymous
  • anonymous
Domain has to be an interval of defined value
anonymous
  • anonymous
If it asks you for vertical asymptote, it would work.
zepdrix
  • zepdrix
npv's? Hmm ive never heard that before :) interesting
korosh23
  • korosh23
Yes it was in my pre-cal 11 textbook. lol
korosh23
  • korosh23
@zepdrix and @Shalante, I am fine with solving questions, but my main problem now is understnading important concepts. Can I tag you in other questions to explain something like this. If it is ok with you guys?
anonymous
  • anonymous
Yep, the name is interesting. Havent heard it in a while.
anonymous
  • anonymous
Now I want a break and play. If no one does, I will. (In like 20 minutes)
korosh23
  • korosh23
Ok thanks for help.
zepdrix
  • zepdrix
I don't think it was mentioned earlier, just want to add, U means union. It's like.. the sum of those intervals, is your domain|dw:1443234023659:dw|x can lie anywhere in the ( brackets .

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