| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Composite & Inverse Functions |
| Type | Find composite function expression |
| Difficulty | Moderate -0.8 This is a straightforward composition of functions requiring only substitution of f(x) into g(x) and simplification using the basic logarithm-exponential identity e^(ln x) = x. It's simpler than average as it tests only one concept with minimal steps and no problem-solving required. |
| Spec | 1.02v Inverse and composite functions: graphs and conditions for existence1.06a Exponential function: a^x and e^x graphs and properties1.06d Natural logarithm: ln(x) function and properties |
Given that $f(x) = 2\ln x$ and $g(x) = e^x$, find the composite function gf(x), expressing your answer as simply as possible. [3]
\hfill \mbox{\textit{OCR MEI C3 Q4 [3]}}