The inverse of a function

  1. \rhd  Intro to inverse functions (9:05)  For f(x)=2x-4, Sal finds f^{-1}(x).
  2. \rhd Inputs and outputs of inverse functions (6:18)  For a function f(x) defined by a table, find f^{-1}(x), f(-9), f(f(-9)+1), f^{-1}(8), f(f^{-1}(7)), f^{-1}(f^{-1}(13)).
  3. \rhd  Graphing the inverse of a  linear function (2:17)
  4. *  Practice: Type of problem: Given the graph of a function g(x), find the value of g^{-1}(7).
  5. \rhd  Finding inverse functions: quadratic (7:12) Find the inverse of f(x)=(x+2)^2+1 for x\geq -2.
  6. \rhd  Finding inverse functions: rational (7:01) Find the inverse of  g(x)=\dfrac{2x-1}{x+3}.
  7. *  Practice: Type of problem: What is the inverse function of f(x) = 8x+1?