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Definition and Domain of a Rational Expression  Problem 1
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
In finding the domain for a rational expression all we are concerned about is when the denominator can’t be 0. Our x will be able to be everything else. So we are looking at this I know that I’m going to be able to put in everything except for what the denominator makes the denominator 0, denominator is 0 when x is 2 so that I know that I’m left with all real’s except 2.
Different ways of writing that this is one way of saying everything but 2 you may want to do a different notation which is –infinity to 2 soft bracket union of 2 infinity.
Different ways of writing the exact same thing, but the main part of this problem is the domain of the statement is everything except for 2.
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Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
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Sample Problems (4)
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Definition and Domain of a Rational Expression
Problem 1 6,137 viewsDomain for:
x − 3 x + 2 
Definition and Domain of a Rational Expression
Problem 2 4,927 viewsSimplify:
x − 1 x² − 4x + 3Domain: 
Definition and Domain of a Rational Expression
Problem 3 4,132 viewsSimplify:
5 − x x − 5Domain: 
Definition and Domain of a Rational Expression
Problem 4 4,017 viewsSimplify:
x² − 5x + 6 4 − x²Domain:
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