Inverse Functions

0:00 Introduction.

0:19 Definition: Function, Domain, and Range.

0:35 Examples.

3:20 Inverse Functions.

4:27 Example on the inverse using a table.

6:27 Example on Inverse Function, f(x) = x+2.

7:27 Example on Inverse Function, f(x) = 3x+2.

9:19 In steps "Finding the Inverse Function Algebraically".

10:51 The Composition of two inverse functions. ( f o g ) (x) = x and ( g o f ) (x) = x.

13:43 Given two functions f(x) and g(x), how to TEST whether the functions are inverses of each other. 14:38 Vertical Line Test with examples.

15:26 One-to-One Functions Definition.

16:53 Using the Horizontal Line Test to determine if a graph is a graph of a one-to-one function.

17:45 Graphs on One-to-One Functions.

18:53 Find g(3) and g^-1(3) from a graph.

19:48 Given a graph of a function, find f(2) and solve for f(x)=4.

21:14 Examples of One-to-One Functions.

23:29 Restricting the Domain on a NOT one-to-one function to find the inverse FUNCTION.

24:24 More quick examples on One-to-One Functions and NOT One-to-One Functions.

Radical Functions and Inverse Functions.

Radical Functions. Square Root Functions.

Cube Root Function.

Inverse Relations.

Horizontal Line Test “H.L.T.”.

Vertical Line Test “V.L.T.”.

Domain Restrictions. Domain “x” & Range “Y”.

Line of Reflection, Line of Symmetry “Y=X”.