Compositions and Inverse Functions
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Use all of the different function types and have students practice composing different types of functions and finding the inverses of those functions.
IBL Calculus has some activities under the Precalculus tab for this: https://sites.google.com/site/aibldraftinstructorsite/precalculus scroll down and see the section Compositions and Inverses.
Do Trig Inverse in detail