I don't know if this will help but I found this on YAHOO!
Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.
Step-by-step explanation:
f(x) = sqrt (5x-10)
Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.
therefore the domain of the function f(x) is (2, infinity) inclusive of 2.
The domain of the above function is (2, ∞) .
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
For the given function [tex]y = \sqrt{5x-10[/tex]
The domain will be the value that satisfies the function and produces a value of y
For any value less than 2 , the value of v will be an imaginary number .
As the square root of a negative number will be an imaginary number.
Therefore (2, ∞) is the domain of the above function.
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