In this mathematics lesson students learn how to find the inverse of a function using function machines.  As learning progresses students use transposition of formulae and recognise inverse functions as a reflection of its original in y = x.

Differentiated Learning Objectives

• All students should be able to use function machines to find an inverse function.
• Most students should be able to find an inverse function using algebraic methods.
• Some students should be able to draw the graph of an inverse function using a reflection on y = x.

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Functions, Iteration and Rates of Change

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