Inverse Function

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The inverse function f-1 of a function f is the function for which f(f-1(x)) = x for any x.

Inverse function is a high school-level concept that would be first encountered in a pre-calculus course covering functions. It is listed in the California State Standards for Algebra II.


Logarithm: The logarithm is the power to which a number (called the base) must be raised to produce a given number. For example, the logarithm of 100 with respect to the base 10 is 2.
Matrix Inverse: Given a matrix M, the inverse matrix is a new matrix M-1 that when multiplied by M, gives the identity matrix.
Square Root: A square root of x is a number r such that r*r = x.


Function: A function is a relation that uniquely associates members of one set with members of another set. The term "function" is sometimes implicitly understood to mean continuous function, linear function, or function into the complex numbers.

Classroom Articles on Functions

  • Domain
  • Range

  • Classroom Articles on Pre-Calculus (Up to High School Level)

  • Asymptote
  • Natural Logarithm
  • Complex Conjugate
  • Normal Vector
  • Complex Number
  • Parabola
  • Complex Plane
  • Parametric Equations
  • Conic Section
  • Plane
  • Cross Product
  • Plane Curve
  • Curve
  • Polar Coordinates
  • Determinant
  • Rational Function
  • Dot Product
  • Reflection
  • e
  • Rotation
  • Ellipse
  • Rotation Matrix
  • Exponential Function
  • Scalar
  • Hyperbola
  • Spherical Coordinates
  • i
  • Tangent Line
  • Imaginary Number
  • Translation
  • Locus
  • Vector