What Is a Function? | Precalculus

Help got a test in 5 min

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But you got two outputs for y. I thought it's not a true inverse if that's the case. Don't you have to restrict the domain? Otherwise it doesn't pass the horizontal line test.

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You explain things clearly, but some of your examples are wrong. f(x) = x^2 - 4 is not a 1-1 function, therefore has no inverse. You should have noticed this when you took the square root of y^2 which gives two answers. If you limit the domain of f(x) = x^2 - 4 to [0, infinite) then it has an inverse.

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All of your videos are so simple and easy. I normally don't comment, but your videos have been so helpful while I prepare to take calculus this semester. Compared to professor's videos and other resources, you just make learning so clear. Thanks for all your videos.

1. how to find inverse function
2. how to know if 2 functions are inverse function of each other
3. the property of inverse function
4. how to draw the inverse function
5. how to know f(x) is a function?
6. how to know the inverse is a function

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What is domain and range I don't understand it

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i think the first question is wrong. how is 3y-1 multiplied by x equals to 3xy-3x. i understand the 3xy part but how did the 3x happen? there is no 3 to multiply it with ? or maybe i am trippin

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so confusing about how you explain to test the graph using vertical and horizontal line you said used a vertical line for the original function and horizontal line for inverse function ???????

Beautiful, clear and straight forward class