Inverse Functions - The Basics!

Inverse Functions - Understanding the Basics
In this video, we cover the fundamental concepts of inverse functions, including how to identify them, the horizontal line test for one-to-one functions, how to graph inverse functions, and how to determine their domain and range. This is a great starting point for anyone looking to understand the core ideas behind finding and interpreting inverses of functions.

What You Will Learn

What an inverse function is and how to find it.

The horizontal line test to determine if a function has an inverse.

How to graph an inverse function f^ (−1)(x) based on the original function.

How to find and understand the domain and range of inverse functions.

Inverse functions are a key topic in algebra and calculus, providing a way to "reverse" the operation of a function. In this video, you'll learn the criteria for a function to have an inverse, practical tips for graphing inverses, and an intuitive understanding of how the domain and range are connected between a function and its inverse. By the end, you'll have a strong grasp of the basics to tackle more advanced problems involving inverses.

If you enjoy this video, please like, comment, and subscribe! Share it with classmates, teachers, or anyone learning about inverse functions.

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[Lexyvil]

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[ademBizon]

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After 10 years and people still learning from your videos
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[taalpgh]

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[madknacker]

I'm not sure if it was pointed out, but at 9:21 you stated that because it failed the HLT that it is not a function. I'm sure you're aware that it is still a function, it just doesn't have an inverse. It may be confusing to some. Otherwise great video!

[kibethnehema]

This makes so much more sense than my text book which just defined what a function is over and over and said that an in verse function is notated by f^-1 then expects us to work problems...

[TheBarneyrubble]

I've had so many people try to teach me this concept but I never got it until I watched this video....one video did what so many people could not...the reason being is because you explained why, how, how to check, and why again. Thanks so much for your help! You're a saint! (a mathematical saint)

[sailbyzantium]

Very nice. Esp. liked the beginning with the 8 to 3 and 3 to 8, etc. examples to show the inverses. Excellently explained. Thank you!

[Vorbis]

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[phoenixwings]

I like how you said that you start with a number and the other equation gives the number back. It makes sense now !

[RichmondeCalalo]

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[nanokd]

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