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

Click For Summary
SUMMARY

This discussion focuses on determining the domain of a function in Rn, specifically addressing common expressions and their constraints. Key points include that for the square root function √x, the domain is x≥0; for the reciprocal function 1/x, the domain is x≠0; for 1/√x, the domain is x>0; and for the logarithmic function log(x), the domain is x>0. Participants also suggest additional examples such as 1/√(1/(x-3)² - 1/(x-2)²) and arcsin x, where 1 ≤ x ≤ 1.

PREREQUISITES
  • Understanding of function notation and expressions in Rn
  • Familiarity with mathematical concepts of domain and range
  • Knowledge of specific functions such as square root, reciprocal, and logarithmic functions
  • Basic algebraic manipulation skills
NEXT STEPS
  • Research the domain of composite functions in Rn
  • Learn about the implications of discontinuities on function domains
  • Study advanced functions such as piecewise functions and their domains
  • Explore the use of graphical methods to determine function domains
USEFUL FOR

Mathematics students, educators, and anyone involved in analyzing or teaching function properties in calculus or algebra.

gikiian
Messages
98
Reaction score
0
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?
 
Mathematics news on Phys.org
welcome to pf!

hi gikiian! welcome to pf! :wink:

yes that's right :smile:
gikiian said:
What can be some more points similar to the ones I wrote above?

:rolleyes: … how about 1/√(1/(x-3)2 - 1/(x-2)2) ? :wink:
 
arcsin x, 1 ≤ x ≤ 1 etc?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
11
Views
12K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K