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Yes! The vertical asymptotes should be -3/2. I will have to fix that. Good catch. Dropped a negative. Goofy me.

Nice work! You caught the mistake. How would this change your answer?

Yes thanks to the access to technology I had at the time of making these videos, it was extremely tricky to write onto my screen. Good thing that’s not the point of these videos though!

Could you help by pointing out what is wrong?

I like to consider the domain of the original function and determine from a graph. For example if my function is f(x)=x^2 for x>=0 then the inverse will need to be a positive sqrt(x) because that is the function f(x) flipped over the line y=x.

Isn't it super cool that even the "pros" make mistakes in math. Math is beautiful that way. It seems like this "perfect" thing but it can be (and should be) messy!

Thank you for watching. These videos are designed for students in my classes who have already had some background information and learning. So I could see why some things might confuse you. Also take into account that everyone understands math differently. That’s what’s so beautiful about it.

I do throughout the video a bit. The arrows that I draw below the lines are indicating where I will shade. And then I shade in where the arrows “overlap”. So many times I see students shading below/above both lines and leaving it. But they need to realize it is only the overlap which is why I draw the arrows instead.