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Functions and Inverses What's the use? If f exists, we could use it to ...

Functions and Inverses What's the use? If f exists, we could use it to ...

Functions and Inverses What's the use? If f exists, we could use it to ...

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Examples ­ Decide whe<strong>the</strong>r f is one­<strong>to</strong>­one.­ ei<strong>the</strong>r <strong>use</strong> horizontal line test­ or apply defin<strong>it</strong>ion­ be sure <strong>to</strong> specify <strong>the</strong> domain!Jan 28­4:37 PMGiven a graph of y = f(x), <strong>we</strong> can sketch <strong>the</strong> inverse:f ­1 (x) = (x 2 ­2)/5a) Sketch f ­1 (x).b) State <strong>the</strong> domain <strong>and</strong> range.c) Find a formula for f ­1 (x).Jan 28­4:59 PM2

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