Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.
- $\rhd$ Intro to inverse functions (9:05) For $f(x)=2x-4$, Sal finds $f^{-1}(x).$
- $\rhd$ Inputs and outputs of inverse functions (6:18) For a function $f(x)$ defined by a table, find $f^{-1}(x)$, $f(-9)$, $f(f(-9)+1)$, $f^{-1}(8)$, $f(f^{-1}(7))$, $f^{-1}(f^{-1}(13))$.
- $\rhd$ Graphing the inverse of a linear function (2:17)
- * Practice: Type of problem: Given the graph of a function $g(x)$, find the value of $g^{-1}(7)$.
- $\rhd$ Finding inverse functions: quadratic (7:12) Find the inverse of $f(x)=(x+2)^2+1$ for $x\geq -2$.
- $\rhd$ Finding inverse functions: rational (7:01) Find the inverse of $g(x)=\dfrac{2x-1}{x+3}$.
- $\rhd$ Finding the inverse function (3:15) Find the inverse of $f(x)=\dfrac{x-1}{x+2}$
- * Practice: Type of problem: What is the inverse function of $f(x) = 8x+1$?
