subject: Domain Of A Function Calculator [print this page] Introduction to domain of a function calculator:
A relation is such that no two ordered pairs will have the same first coordinates is called as functions. Generally the functions are denoted by f, g, h ......
If f is a function from A to B then it is written as f : A ->B.
If f : A ->B is a function then
All the elements of A should be associated with B
Each element of A should be associated for once only
Domain of a Function Calculator - Conditions
If f : A ->B is a function then set A is called as the Domain of a function. set B is called the Co-domain of a function and f ( A ) [ images ] is called as the Range of a function.
Conditions for domain:
If the equation is ( x-a ) ( x-b ) less than 0 then the domain is ( a,b )
If the equation is ( x-a ) ( x-b ) 'less than='0 then the domain is [ a,b ]
If the equation is ( x-a ) ( x-b ) Greater than 0 if log numerator then the domain is R [ a,b ]
If the equation is ( x-a ) ( x-b ) Greater than 0 if log denominator then the domain is undefined
If the equation is ( x-a ) ( x-b ) Greater than 0 if numerator then the domain is R ( a,b )
If the equation is ( x-a ) ( x-b ) Greater than 0 if denominator then the domain is R { a,b }
If the equation is ( x-a ) ( x-b ) 'Greater than='0 then the domain is R ( a,b )
Please try this Order of Operations Calculator for solving your problems.Click here to see.
Domain of a Function Calculator Examples
1) Find the Domain of f ( x ) = $sqrt{9 - x^{2}}$
Solution:
given that $sqrt{9 - x^{2}}$
the given equation is in numerator so we write it as
9 - x^2 'Greater than=' 0
- ( x^2 - 9 ) 'Greater than=' 0
x^2 - 9 'less than=' 0
( x + 3 ) ( x - 3 ) 'less than=' 0
Domain is [ -3, 3 ].
2) Find the domain of log ( x^2 - 4x + 3 )
Solution:
f ( x ) = log ( x^2 - 4x + 3 )
if the given equation is in log numerator then we write it as
