Domain
Definition of Domain

• Domain of a Relation is the set of all x-coordinates of the ordered pairs of that relation.                        

Examples of Domain

• Domain of the Relation {(3,4), (9,8), (4,5)} is {3, 4, 9}.

Solved Example on Domain

Find the Domain of f(x) = (x + 3)^-1.
Choices:
A. (- ∞, - 3) or (- 3, - ∞)
B. (- 3, 3)
C. (- ∞, - 3) or (3, ∞)
D. (- ∞, ∞)
Correct Answer: A
Solution:
Step 1:f(x) = (x + 3)^-1.
Step 2: alt="" />
Step 3: Domain of a Function is the set of all possible input values for the function.
Step 4: Observe that the Function alt="" /> is not defined only when x = - 3.
Step 5: So, the Domain for this Function is (- ∞, - 3) or (- 3, - ∞).

Related Terms for Domain

• Relation
• Ordered Pairs
• Coordinates                    

Additional Links for Domain

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