Exponential endpoints given by logarithms

Exponential endpoints given by logarithms

5 marks

TGM Original

Let g(x)=2+ e-x, -ln3 <= x

Solution:

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Answer:Range \((\dfrac52,5]\); \(\mathrm g^{-1}(x)=-\ln(x-2)\), \(D=(\dfrac52,5]\), \(R=[-\ln3,\ln2)\).

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