Michael F. answered • 10/12/13

Mathematics Tutor

R(x)= -7-6x/x^3-5x^2+6x submitted, I am going to assume you meant

R(x)= (-7-6x)/(x³-5x²+6x)=-(7+6x)/(x(x²-5x+6)=-(7+6x)/(x(x-3)(x-2))

Theresa L.

asked • 10/12/13Find the domain of the rational expression (Show all work)

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

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Michael F. answered • 10/12/13

Tutor

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Mathematics Tutor

R(x)= -7-6x/x^3-5x^2+6x submitted, I am going to assume you meant

R(x)= (-7-6x)/(x³-5x²+6x)=-(7+6x)/(x(x²-5x+6)=-(7+6x)/(x(x-3)(x-2))

The function is definable except where x=0 or 2 or 3.

The domain D is the complement, in the real line, of these points.

D=(-∞,0)∪(0,2)υ(2,3)∪(3,∞)

Vivian L. answered • 10/12/13

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Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

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.

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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!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

I never before encountered the symbol of U.

Report

10/15/13

Vivian L.

Thank you!

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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Michael F.

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

10/14/13