Inverse Functions (Learn Algebra 2)

Learn how to find the inverse of a functions as well as what the inverse of a function looks like graphically. We also discuss the vertical and horizontal line tests as well as how to test algebraically whether functions are inverses using the composition of functions.

Jump to Section of this Video:

0:10 What is the inverse of a function?
0:47 How to prove that the functions are inverses of each other.
1:17 Introductory example for finding the inverse of f(x)=2x-1
2:00 What does the inverse graph of a function look like?
4:32 What is the vertical line test and what does it test for?
5:13 What is the Horizontal line test and what does it test for?
6:42 Example 1 find the inverse of f(x)=3x^5
7:24 Example 2 Find the inverse of y=3x+6
7:53 Example 3 Find the inverse of y=4/5 x +10
8:37 Example 4 Show the functions are inverses a(x)=6x+5, b(x)=(x-5)/6
11:18 Example 6 Is the Inverse of f(x)=3x^3 -2 a function?
12:32 Example 7 Is the Inverse of g(x)=-2x^2 + 4 a function?
13:02 Example 8 Find the inverse and state domain f(x)=3x^2 -5, x greater than or equal to 0.

Related YouTube Videos to Help You:

Inverse Functions Complete Guide

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