A restricted exponential reflection
A restricted exponential reflection
6 marks
TGM Original
Let g(x)= ex+1, x 0. Find the inverse with its domain and range. Sketch both graphs with y=x, marking their endpoints and labelling their asymptotes.
Solution:
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Answer:\(\mathrm g^{-1}(x)=\ln(x-1)\), \(D=(1,2]\), \(R=(-\infty,0]\); endpoints \((0,2),(2,0)\); asymptotes \(y=1,x=1\).
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