Introduction to Inverse Functions

This algebra video tutorial provides a basic introduction into inverse functions. it explains how to find the inverse function by switching the x and y variables. It also explains how to prove if two functions are inverses of each by checking to see if the composite functions of f(g(x)) and g(f(x)) are equal to x. In addition, it explains how to graph the inverse function around the line y=x. Finally, it highlights the difference between the vertical line test and the horizontal line test as it relates to one to one functions and inverse functions. The vertical line test tells if a relation is a function. The horizontal line test tells you if the function is one to one and if the inverse relation is a function.

Introduction to Functions:
   • Functions - Vertical Line Test, Order...  

Evaluating Functions:
   • Evaluating Functions - Basic Introduc...  

Function Operations:
   • Function Operations  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions -...  

Relative Maximum & Minimum Values:
   • Identifying The Relative Maximum and ...  

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Relations and Functions:
   • Relations and Functions | Algebra  

Domain and Range From a Graph:
   • Domain and Range of a Function From a...  

How To Find The Domain of a Function:
   • How To Find The Domain of a Function ...  

Average Rate of Change of a Function:
   • Average Rate of Change of a Function ...  

The Difference Quotient of a Function:
   • Difference Quotient  

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Evaluating Piecewise Functions:
   • Evaluating Piecewise Functions | PreC...  

Graphing Piecewise Functions:
   • Graphing Piecewise Functions - Precal...  

Composite Functions:
   • Composite Functions  

How To Evaluate Composite Functions:
   • How To Evaluate Composite Functions U...  

Composite Functions - Data Table:
   • How To Evaluate Composite Functions U...  

Comp. of 3 Functions - Data Table:
   • Composition of Three Functions With D...  

Decomposing Functions:
   • Decomposing Functions - Composition o...  

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Introduction to Inverse Functions:
   • Introduction to Inverse Functions  

How To Find The Inverse of a Function:
   • How To Find The Inverse of a Function  

Verifying Inverse Functions:
   • Verifying Inverse Functions | Precalc...  

Horizontal Line Test - 1 to 1 Functions:
   • Horizontal Line Test and One to One F...  

Vertical Line Test:
   • Vertical Line Test  

Graphing Inverse Functions:
   • Graphing Inverse Functions  

Composite and Inverse Functions:
   • Composite Functions and Inverse Funct...  

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Even and Odd Functions:
   • Even, Odd, or Neither Functions The E...  

Transformations of Functions:
   • Transformations of Functions | Precal...  

Linear Functions:
   • Linear Functions  

Functions and Graphs - Problems:
   • Functions and Graphs | Precalculus  

Functions - Test Review:
   • Functions  

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