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 $f(x) = 8x+1$?