represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y.
represents the inverse with respect to the n argument when there are tot arguments in all.
- In OutputForm and StandardForm, InverseFunction[f] is printed as f(-1).
- As discussed in "Functions That Do Not Have Unique Values", many mathematical functions do not have unique inverses. In such cases, InverseFunction[f] can represent only one of the possible inverses for f.
- InverseFunction is generated by Solve when the option InverseFunctions is set to Automatic or True.
Examplesopen allclose all
Basic Examples (3)
When the function is not one-to-one, InverseFunction issues a message:
InverseFunction with respect to the first argument of a two-argument function: