Decomposing Functions – Composition of Functions

This precalculus video tutorial explains how to decompose a composite function into two functions f(x) and g(x). This video contains plenty examples and practice problems on decomposing a composition of functions.

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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