This is very informative. However, I wonder how to determine the domain of a function like this: f(x)=âˆš((x+1)+âˆš(x-1)) where the second square root is included in the first one.

Sir of lately I have become a fan of yours (currently doing the coursera course ) , rarely I have seen a happy face maths teacher , you are doing a great service to the society or for students in third world nations like India , I am sure this is the way to go for the future , kudos to you !!

## 9 Comments

## mohammed osama

This is very informative. However, I wonder how to determine the domain of a function like this: f(x)=âˆš((x+1)+âˆš(x-1)) where the second square root is included in the first one.

## Robert Smith

I really like this series, but the smacking of the lips as the repetitive vocalized pause throws my thought process off. Just some feedback.

## Martin Mikitas

thumbs up for the controller!

## Raghav garg

Sir of lately I have become a fan of yours (currently doing the coursera course ) , rarely I have seen a happy face maths teacher , you are doing a great service to the society or for students in third world nations like India , I am sure this is the way to go for the future , kudos to you !!

## pablo redon

How about the range though??

## catfood

Kudos to you! ðŸ˜‰

## Nate

5:05 heh…nice

## Bruce C

Difference between pros and noobs is that noobs say "positive numbers and zero" while pros say "nonnegative numbers"

## I'm peech

so in 8.25 you conclude that the domain of square root function only works with zero or positive number?