Function Composition & Inverses

Composing functions, finding and verifying inverse functions

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📈 Function Composition & Inverses

Learn to compose functions, find inverse functions, and verify inverse relationships.

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⚠️ Common Mistakes: Function Composition & Inverses

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📝 Worked Example: Related Rates — Expanding Circle

Problem:

A stone is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a rate of $2$ cm/s. How fast is the area of the circle increasing when the radius is $10$ cm?

2Write the relationship between variables

3Differentiate both sides with respect to time

4Substitute known values

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📌 Related Topics in Function Analysis

Transformations

❓ Frequently Asked Questions

What is Function Composition & Inverses?▾

Composing functions, finding and verifying inverse functions

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Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.

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What course covers Function Composition & Inverses?▾

Function Composition & Inverses is part of the AP Precalculus course on Study Mondo, specifically in the Function Analysis section. You can explore the full course for more related topics and practice resources.