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Unit: Composite and inverse functions

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Possible mastery points

Composing functions

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Practice

Evaluate composite functionsGet 3 of 4 questions to level up!
Evaluate composite functions: graphs & tablesGet 3 of 4 questions to level up!
Find composite functionsGet 3 of 4 questions to level up!

Modeling with composite functions

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Practice

Model with composite functionsGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 320 Mastery points

Invertible functions

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Practice

Determine if a function is invertibleGet 3 of 4 questions to level up!
Restrict domains of functions to make them invertibleGet 3 of 4 questions to level up!

Inverse functions in graphs and tables

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Practice

Inverse functions: graphs and tablesGet 3 of 4 questions to level up!

Verifying inverse functions by composition

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Verify inverse functionsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 320 Mastery points

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Unit test

Level up on all the skills in this unit and collect up to 800 Mastery points!

About this unit

We can compose functions by making the output of one function the input of another one. This simple-yet-rich idea opens up a world of fascinating applications. Inverse functions undo each other when we compose them.