Intro to Inverse Functions (3 of 4: Restricted domains)

[ryanlyle]

It makes me happy that there are teachers this good in the world.

[decorumgun]

Why can't all the math teachers tie everything into a whole like this?! Thanks so much for filling in the holes for me!

[yassinejrad]

Good lesson, you are a very good teacher, I saw one of your videos and now I'm more curious and I want to discover the world of mathematics :)

[tony]

I never knew why negative root numbers were imaginary till now

[peixuanliu]

This was so helpful! Thanks for helping me understand

[bobbob]

Composition of f and its inverse isn't necessarily cOmmutative though! Right 6:30

[sabkhan]

@EddieWoo thank you for a wonderful explanation, however I have a question:
when we restrict the domain of the regular function to x >= 0, we get the inverse function sqrt of x, why can't we restrict the domain of the function to x <= 0 and get the inverse function -sqrt of x??

[avi]

You should have more subscribers than Vsauce
Where are all the missing subscribers?

[doodelay]

great lectures, but will say that the reason sqrt of x doesnt have a fully symmetric graph like x^2 is because the sqrt of x cannot return negative real numbers (only i values). The way he says it kinda implies that humans restrict the function by convention