Inverse Functions (Restricted Domain)

[@LittlePangy]

Thanks! This was really concise and helpful

[@mia-jm2jx]

THANK YOU SO MUCH 🙏🏼🙏🏼🙏🏼

[@TomTeachesMath]

You’re very welcome, Mia!

[@sabkhan2409]

@TomTeachesMath , why do we take only the positive sqrt of the inverse function and restrict the domain to x >= 0 @3:25, why not the negative sqrt?

[@TomTeachesMath]

Great question.
Honestly, it’s just convention. Restricting it to the negative part that you’re referencing would still slow the inverse to be a function….but we just typically take the part to the right.

[@sabkhan2409]

@@TomTeachesMath so should we always assume it to be the +ve sqrt?

[@TomTeachesMath]

Yep. I personally wouldn’t care if it were one of my students, but go off what your teacher prefers.

[@irdk2481]

Why did we chop off the negative side not the positive

[@shayaandanish5831]

do we need to restrict domain for cubic graphs

[@sashasehgal4628]

no, because the domain is always going to be all real x values no matter if it's inversed

[@annakrivoy4700]

thank you

[@TomTeachesMath]

You’re very welcome!