Question

Calculus 12 Question!



Please explain the part I highlighted. Thank you.

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Answer 1

There is the solution to the answer, but I don't understand it. Could you please explain?

Answer 2

When the x makes the denominator 0, it is not included in the domain.
\[\frac{ 1 }{ x(x-1) }\]

Answer 3

x=? makes it zero.

Answer 4

and x=1

Answer 5

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\(1\)

Answer 6

yes x-1=0
x=1

Answer 7

1(1-1)=0

Answer 8

@satellite73 right, but I don't understand how? the way it is written is confusing

Answer 9

@shalante I am following you. Go ahead

Answer 10

\[(-\infty,0)\]
means \[x <0\]

Answer 11

meaning x can 0.0001 or -0.0001 but not at 0

Answer 12

(0,1) means it can be from 0.0001 to 0.9999 but not at 1 or 0

Answer 13

\[(1,\infty)\]
means it can be from 1.0001 to infinity.

Answer 14

Ok and what does the U shape represent?

Answer 15

only 0 and 1 makes it undefined So we wont include \[x \le0\]
or \[x \le 1\]

U is just a set of interval

Answer 16

A gap between undefined values.

Answer 17

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?

Answer 18

@Shalante, one more question. If something is like x cannot equal 1, can we say the npvs or non permissible values are 1

Answer 19

For the domain?

Answer 20

Yes I believe. Like saying x cannot equal 1. So npvs of x are 1. IS it correct?

Answer 21

Domain has to be an interval of defined value

Answer 22

If it asks you for vertical asymptote, it would work.

Answer 23

npv's? Hmm ive never heard that before :) interesting

Answer 24

Yes it was in my pre-cal 11 textbook. lol

Answer 25

@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?

Answer 26

Yep, the name is interesting.
Havent heard it in a while.

Answer 27

Now I want a break and play.
If no one does, I will. (In like 20 minutes)

Answer 28

Ok thanks for help.

Answer 29

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 domainx can lie anywhere in the ( brackets .