Define the Domain of a function?

1.	Define the Domain of a function?
Answer» The set of numbers x for which the function f (x) is defined is called the domain of the function. Ex. (i) f (x) = \(\frac{1}{x}\) ; Domain = R – {0} as the function is defined for all real numbers except 0. (ii) f (x) = \(\sqrt{x}\) ; Domain = All non-negative real numbers as \(\sqrt{x}\) is not defined when x is a negative real numbers.

Answer»

The set of numbers x for which the function f (x) is defined is called the domain of the function.

Ex.

(i) f (x) = \(\frac{1}{x}\) ; Domain = R – {0} as the function is defined for all real numbers except 0.

(ii) f (x) = \(\sqrt{x}\) ; Domain = All non-negative real numbers as \(\sqrt{x}\) is not defined when x is a negative real numbers.

Discussion