InverseFunctions
 Usage
• InverseFunctions is an option for Solve and related functions which specifies whether inverse functions should be used.
Notes
• Settings for InverseFunctions are:
| True | always use inverse functions | | Automatic | use inverse functions, printing a warning message (default) | | False | never use inverse functions |
• Example: Solve[f[x]  a, x, InverseFunctions->True]  . • 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 f[expr] first, then applies InverseFunction[f] to the result, equates it to expr, and continues trying to solve for the remainder of the variables. • New in Version 2.
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