Summary: Radical Functions

Key Concepts

  • The inverse of a quadratic function is a square root function.
  • If [latex]{f}^{-1}[/latex] is the inverse of a function [latex]f[/latex], then [latex]f[/latex] is the inverse of the function [latex]{f}^{-1}[/latex].
  • While it is not possible to find an inverse of most polynomial functions, some basic polynomials are invertible.
  • To find the inverse of certain functions, we must restrict the function to a domain on which it will be one-to-one.
  • When finding the inverse of a radical function, we need a restriction on the domain of the answer.
  • Inverse and radical and functions can be used to solve application problems.


invertible function
any function that has an inverse function