FunctionDomain

FunctionDomain[f,x]
finds the largest domain of definition of the real function f of the variable x.

FunctionDomain[f,x,dom]
considers f to be a function with arguments and values in the domain dom.

FunctionDomain[funs,vars,dom]
finds the largest domain of definition of the mapping funs of the variables vars.

FunctionDomain[{funs,cons},vars,dom]
finds the domain of funs with the values of vars restricted by constraints cons.

Details and OptionsDetails and Options

  • funs should be a list of functions of variables vars.
  • Possible values for dom are Reals and Complexes. The default is Reals.
  • If dom is Reals then all variables, parameters, constants, and function values are restricted to be real.
  • cons can contain equations, inequalities, or logical combinations of these.
  • The following options can be given:
  • GeneratedParametersChow to name parameters that are generated
    MethodAutomaticwhat method should be used
    WorkingPrecisionAutomaticprecision to be used in computations

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Find the largest domain of definition of a real function:

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The largest domain of definition of a complex function:

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Introduced in 2014
(10.0)