Domain Of A Function Calculator

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

x^2 - 4x + 3 Greater than 0

( x - 1) ( x - 3 ) Greater than 0

Domain is R [ 1, 3 ].

by: nitinp

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