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www.le.ac.uk Inverse functions Mathematics Department University of Leicester

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Content How to find an inverseExamplesIntroduction

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Next How to find an Inverse Examples If a function applies an action to a set then it is useful to know how to undo that action. The inverse function is the “undoing” function. If we know how to convert a temperature from Fahrenheit to Celsius, can we work out how to convert from Celsius to Fahrenheit? This would require calculating inverses! Introduction

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Inverse functions Next How to find an Inverse ExamplesIntroduction

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Next How to find an Inverse ExamplesIntroduction

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Your turn None of these How to find an Inverse ExamplesIntroduction

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Your turn None of these How to find an Inverse ExamplesIntroduction

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Domain & Range Range Domain Range Domain Next How to find an Inverse ExamplesIntroduction

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Example question Solution How to find an Inverse ExamplesIntroduction

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Example question Next How to find an Inverse ExamplesIntroduction

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Graphs of inverses Next How to find an Inverse ExamplesIntroduction

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Next How to find an Inverse Examples Introduction

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Investigating inverses Sine inverse Cosine inverse Exp inverse Log inverse y x y = x How to find an Inverse Examples Next Introduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses yy = x Next How to find an Inverse ExamplesIntroduction

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x Sine inverse Cosine inverse Exp inverse Log inverse Investigating inverses Next How to find an Inverse ExamplesIntroduction

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Question How to find an Inverse ExamplesIntroduction

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Conclusion Next How to find an Inverse Examples You should now be able to: Calculate inverses. Calculate the range and domain of an inverse. Draw the graph of an inverse function. Introduction

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Aims: To be able to find the inverse of a function. To know the graphical relationship between a function and its inverse. To understand the relationship.

Aims: To be able to find the inverse of a function. To know the graphical relationship between a function and its inverse. To understand the relationship.

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