Introduction to Inverse Functions

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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.

Functions - Free Formula Sheet:

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Introduction to Functions:


Evaluating Functions:


Function Operations:


Increasing and Decreasing Functions:


Relative Maximum & Minimum Values:


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Relations and Functions:


Domain and Range From a Graph:


How To Find The Domain of a Function:


Average Rate of Change of a Function:


The Difference Quotient of a Function:


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Evaluating Piecewise Functions:


Graphing Piecewise Functions:


Composite Functions:


How To Evaluate Composite Functions:


Composite Functions - Data Table:


Comp. of 3 Functions - Data Table:


Decomposing Functions:


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Introduction to Inverse Functions:


How To Find The Inverse of a Function:


Verifying Inverse Functions:


Horizontal Line Test - 1 to 1 Functions:


Vertical Line Test:


Graphing Inverse Functions:


Composite and Inverse Functions:


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Even and Odd Functions:


Transformations of Functions:


Linear Functions:


Functions and Graphs - Problems:


Functions - Test Review:


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