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September 20th, 2012, 06:41 PM   #1
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How do I express the domain in 'Interval Notation'?

Find domain for the function:

f(x)= x+3/x^2-6x+8

The domain cannot be zero on the denominator so, once expanded it's:
Domain: x (cannot equal) 4,2

How would I write that the domain is all real number except 4,2?
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September 20th, 2012, 07:01 PM   #2
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Re: How do I express the domain in 'Interval Notation'?

In interval notation, this would be:

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September 20th, 2012, 07:06 PM   #3
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Re: How do I express the domain in 'Interval Notation'?

Quote:
Originally Posted by MarkFL
In interval notation, this would be:

Sorry the domain is: x cannot equal -4,2

Because once I expand it's (x-4)(x+2)=0
So the domain would be -4,2.

Do I just express it as:
(-infinity,-4)U(-4,2)U(2,infinity)
??
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September 20th, 2012, 07:21 PM   #4
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Re: How do I express the domain in 'Interval Notation'?

You had it right the first time:





These are the values we exclude from the domain.
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