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Math 102

4.3 Inverse Functions

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Verifying Inverse Functions

Finding an Inverse Function (algebraically)

Graphs of Inverse Functions

Application to Inverse Functions

Verifying Inverse Functions:

● Definition: Functions f and g for which

Example 1:

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Math 102

Practice:

Finding an Inverse Function (algebraically):

To find the inverse of the function f that is defined by the equation y = f (x) :

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Example 2:

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Math 102

Example 3: Find the inverse function of f (x) = √x + 3 .

Application to Inverse Functions:

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Math 102

Practice:

1. Find the inverse algebraically for the following below:

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