 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2019/discrete-mathematics-continuous-mathematics-and-probability-resit/1/b/ii/solution

Both injective and surjective. The natural logarithm is strictly increasing on the positive real numbers, so it is injective. For every

y \in R

x = e^{y} > 0

satisfies

ln x = y

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