Theresa L.

# Find the domain of the rational function please

Find the domain of the rational expression (Show all work)

R(x)= -7-6x/x^3-5x^2+6x

## 2 Answers By Expert Tutors

By:

Tutor
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Mathematics Tutor

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Michael F.

Your assessment of the domain as
x cannot equal 3 and x cannot equal 2 and x cannot equal 0
is clearly correct, however your description should be the domain is (-∞,0)∪(0,2)∪(2,3)∪(3,∞), the parentheses indicating that the intervals do not contain their end points
Report

10/14/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Vivian L.

Thank you!
If I understand correctly, the U denotes the fact that "the parentheses indicate that the intervals do not contain their end points".
If there is no U, then the parentheses indicate that the intervals are inclusive of their end points.
I never before encountered the symbol of U.
Report

10/15/13

Michael F.

No! the parentheses ( and ) indicate no endpoints.  The symbol ∪ means set union.
Michael F.
Report

10/15/13

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