| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2009 |
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| Session | June |
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| Topic | Composite & Inverse Functions |
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6 Given that \(\mathrm { f } ( x ) = \frac { x + 1 } { x - 1 }\), show that \(\mathrm { ff } ( x ) = x\).
Hence write down the inverse function \(\mathrm { f } ^ { - 1 } ( x )\). What can you deduce about the symmetry of the curve \(y = \mathrm { f } ( x )\) ?