12 - What are Inverse Functions? (Part 1) - Find the Inverse of a Function & Graph

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In this lesson, you will learn what an inverse function is and why inverse functions are useful in Math, Algebra, Calculus, and beyond. An inverse of a function is the function that does the opposite operation. Because of this, the inverse "undoes" what the original function calculates. This can be used to solve many types of equations, most notably exponential and logarithmic equations. The inverse function also has many uses in Calculus in the study of derivatives.

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This video on inverse functions is fascinating! Reminds me of what I've been doing with my rubies cube. I've discovered some pattern algorithms that undo themselves when repeated and combining them sequentially is exactly as you describe in inverse functions. I've been calling what I am doing solution processing. Calling it this makes more sense for accuracy. Oh one major pattern in using requires me to flip the cube prior to repeating the algorithm else I get a pattern one of three, requiring three time repeats.

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Great lecture as usual. When will this be posted at the member section and under what unit of Algebra 2 Course will this be posted? The most recent one is unit 11. So, my guess is this would be like unit 15?

[@MathAndScience]

I'm not totally sure when it will be posted at www.MathAndScience.com. It will be in unit 15 though - good guess. It takes a while to get all lessons from a unit ready and that is why you see things on youtube for free before seeing them in the members area. It will come to the members area, complete with worksheets and quizzes as well! Jason

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I have a question, When you say it has to pass the H.L.T to have an inverse function, does that mean quadratic equations will never have an inverse or an inverse function?

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At 29:10 you said if you put a negative 3 in f(x) = 1/2x + 2, and you do the math you're gonna get a 1/2 out, but I got a minus 1/2 out, Can you tell me what I did wrong?

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I'm didn't get how the graph was ploted