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

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

2 Content How to find an inverseExamplesIntroduction

3 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

4 Inverse functions Next How to find an Inverse ExamplesIntroduction

5 Next How to find an Inverse ExamplesIntroduction

6 Your turn None of these How to find an Inverse ExamplesIntroduction

7 Your turn None of these How to find an Inverse ExamplesIntroduction

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

9 Example question Solution How to find an Inverse ExamplesIntroduction

10 Example question Next How to find an Inverse ExamplesIntroduction

11 Graphs of inverses Next How to find an Inverse ExamplesIntroduction

12 Next How to find an Inverse Examples Introduction

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

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

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

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

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

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

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

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

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

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

23 Question How to find an Inverse ExamplesIntroduction

24 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

25

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