Writing the domain of a function (some points to consider).

[gikiian]

For finding domain of a function in Rn, I have jot down some of the points. Assuming, if one or more of these 'x'es are a part of the expression of a function f(x1, x2, x3,…, xn), we do the following in writing down the domain:

- for √x we write x≥0
- for 1/x we write x≠0
- for 1/√x we write x>0
- for log(x) we write x>0

What can be some more points similar to the ones I wrote above?

 

[tiny-tim]

welcome to pf!

hi gikiian! welcome to pf!

yes that's right

What can be some more points similar to the ones I wrote above?

… how about 1/√(1/(x-3)² - 1/(x-2)²) ?

 

[epenguin]

arcsin x, 1 ≤ x ≤ 1 etc?