With inverse function This property is the definition of the inverse function  and can hold without additional restrictions on  (like  , where  is not  ) for many named functions. In these situations,  is in most cases free of branch cuts. For example,  ; here  means  with  , that is, the inverse sine function (do not confuse this with the reciprocal function  ). Some of the functions  are invertible: their inversions  can coincide with the original  , but for other values of the parameters. For example, the inverse function for the power function  is also the power function  , and the relation  takes place only under the restriction  . In general cases the following relation takes place:  . The last property for the inverse function of the direct function can be valid under special restrictions for  (where typically  is not  ). For example,  | 
