| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2010 |
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| Session | June |
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| Topic | Composite & Inverse Functions |
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6 The function \(\mathrm { f } ( x )\) is defined by
$$f ( x ) = 1 + 2 \sin 3 x , \quad - \frac { \pi } { 6 } \leqslant x \leqslant \frac { \pi } { 6 }$$
You are given that this function has an inverse, \(\mathrm { f } ^ { - 1 } ( x )\).
Find \(\mathrm { f } ^ { - 1 } ( x )\) and its domain.