How to Restrict the Domain so the Inverse is a Function

In this video we discuss 2 examples to show you how to restrict the domain so that the inverse is a function. We discuss the vertical and horizontal line test, domain and range, graphically what the inverse of the function looks like, and more.
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[@user-kn4vz3yj8c]

You’re videos have helped me so much! Thanks for making them!

[@MariosMathTutoring]

You are so welcome!

[@ramekinstencils6316]

Thank you so much for this sir 🙏 your explanations and teaching are worth so much to have them here on youtube is a gift to the entire platform plain and simple!!

[@MariosMathTutoring]

So nice of you to say that. Thanks

[@AfiyaJahinMukto]

Presious video for every Lerner

[@midwestchau]

Wait. So by splitting the original curve into 2 curves, we can avoid the vertical line test? Or are you saying that, going forward, you can only choose one of the 2 curves to maintain functionality of the inverse. (Did you only show the two inverses because you wanted to show what the inverses looked like and the domain/range considerations, but in practice, you must only choose one of them to pass the vertical line test?) If you consider both curves concurrently, then you still fail the vertical line test, right?

[@MariosMathTutoring]

I’m trying to illustrate how you can restrict the domain to just one of the curves so that the inverse will be a function….hope that clarifies.