| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2016 |
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| Session | June |
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| Topic | Composite & Inverse Functions |
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2 The functions \(\mathrm { f } ( x )\) and \(\mathrm { g } ( x )\) are defined by \(\mathrm { f } ( x ) = \ln x\) and \(\mathrm { g } ( x ) = 2 + \mathrm { e } ^ { x }\), for \(x > 0\).
Find the exact value of \(x\), given that \(\mathrm { fg } ( x ) = 2 x\).