Thread: Functions and their domains

I was looking over my notes recently, and this kind of problem was written


The domain is defined for all values of x<(inclusive) , right?

then I have something weird written for function



the domain is defined for x belongs to x belongs to



This can't be right?


I clearly rememver myself saying that the answer is x is greater than 5 over three, and the teacher said it was correct.

Yes it is

This is because nothing in the radical can be negative so 0 has to be the lowest we can go, so is the lowest you can go before going into imaginary numbers, which cannot be graphed on the real plane.

For the second one you have written x cannot be 0 so the domain would be