| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2009 |
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| Session | January |
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| Topic | Composite & Inverse Functions |
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3 Given that \(\mathrm { f } ( x ) = \frac { 1 } { 2 } \ln ( x - 1 )\) and \(\mathrm { g } ( x ) = 1 + \mathrm { e } ^ { 2 x }\), show that \(\mathrm { g } ( x )\) is the inverse of \(\mathrm { f } ( x )\).