Inverse function
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In mathematics, if a function f(x)=y} f(x)=y is injective, exactly one function g(y) will exist such that g(y)=x, otherwise no such function will exist.
The function g(y) is called the inverse function of f(x) because it "reverses" f(x); that is to say g(f(x))=x.
See also
- Function (mathematics)
- Injective function
- Inverse function theorem, gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain and gives a formula for the derivative of the inverse function
- Inverse functions and differentiation
- Inverse relation
- Lagrange inversion theorem, gives the Taylor series expansion of the inverse function of an analytic function
External links
- Inverse function @ Wikipedia
