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InverseFunctions

InverseFunctions
is an option for Solve and related functions that specifies whether inverse functions should be used.
Truealways use inverse functions
Automaticuse inverse functions, printing a warning message (default)
Falsenever use inverse functions
  • Inverse functions provide a way to get some, but not in general all, solutions to equations that involve functions which are more complicated than polynomials.
  • Solve[Sin[x]==a, x, InverseFunctions->True] gives a single solution in terms of ArcSin. In fact, there is an infinite number of solutions to the equation, differing by arbitrary multiples of . Solve gives only one of these solutions.
  • When there are several simultaneous equations to be solved in terms of inverse functions, Solve may fail to find any solutions, even when one exists.
  • When inverse functions are allowed, Solve solves for first, then applies InverseFunction[f] to the result, equates it to expr, and continues trying to solve for the remainder of the variables.
By default, Solve uses inverse functions but prints warning messages:
With InverseFunctions->True, Solve does not print inverse function warning messages:
With InverseFunctions->False, Solve does not use inverse functions:
Solving algebraic equations does not require using inverse functions:
By default, Solve uses inverse functions but prints warning messages:
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With InverseFunctions->True, Solve does not print inverse function warning messages:
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With InverseFunctions->False, Solve does not use inverse functions:
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Solving algebraic equations does not require using inverse functions:
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