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Domain of Definition of a Function

Tool to find the domain of definition of a function f(x): the set of values x which exists through f.

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Domain of Definition of a Function -

Tag(s) : Mathematics,Symbolic Computation

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# Domain of Definition of a Function

## Calculation of a Function's Domain of Definition

 Solving Domain Set R (Reals) C (Complex)
Also on dCode: Equation Solver

Tool to find the domain of definition of a function f(x): the set of values x which exists through f.

### How to calculate the domain of definition of a function?

One has to observe values for which the function does not exists, there are generally 3 cases for real functions:

- division by 0 (denominator null), because 0 has no inverse

- negative square root (sqrt(x) is only defined for x ≥ 0)

- negative logarithm (log(x) is only defined for x > 0)

dCode has to calculate values with no inverse by f, and return the interval correspondint to the domain of definition of f.$$f(x) = \sqrt{1-2x} \\ f(x) \text{ exists if } x <= 1/2$$

### What is an antecedant?

Consider a function y = f (x) then the number y is called the image of x, and x is called an antecedant of y with the function f in the definition domain D.