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Definition and Domain of a Rational Expression - Problem 1 5,160 views

Teacher/Instructor Carl Horowitz
Carl Horowitz

University of Michigan
Runs his own tutoring company

Carl taught upper-level 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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