The natural exponential and its inverse

The natural exponential and its inverse

6 marks
TGM Original
Let f(x)= ex for x in R. Find f-1, including its domain and range. Sketch both graphs on the same axes and state their asymptotes.

Solution:

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Answer:\(\mathrm f^{-1}(x)=\ln x\), domain \((0,\infty)\), range \(\mathbb R\); asymptotes \(y=0\) and \(x=0\).

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