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Definition of Inverse - Problem 1 4,260 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!

The domain and range of inverse fractions. Remember domain is the set of all our x vales that is in a function and the range is the set of all y values that corresponds to that. And piece that together with the fact that an inverse is what happens they switch the x and y values. What happens with our domain and range of functions inverses is they switch as well.

Our domain used to be the set of all xs, we switch x and y to find inverse so that is going to become the range of the inverse function. Likewise the range of the original function was the y values, when we switch x and ys that is going to become the domain of the inverse.

So just like whenever we find inverse we find x and ys our domain in the inverse are going to switch as well.

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