| Exam Board | OCR MEI |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2010 |
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| Session | January |
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| Topic | Composite & Inverse Functions |
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6 Write down the conditions for \(\mathrm { f } ( x )\) to be an odd function and for \(\mathrm { g } ( x )\) to be an even function.
Hence prove that, if \(\mathrm { f } ( x )\) is odd and \(\mathrm { g } ( x )\) is even, then the composite function \(\mathrm { gf } ( x )\) is even.