A reflected root with no intercepts
A reflected root with no intercepts
6 marks
TGM Original
Let f(x)=sqrt(x-1)+2, x 1. Find the inverse with its domain. Sketch both graphs with y=x, labelling their endpoints. Explain why neither graph meets a coordinate axis.
Solution:
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Answer:\(\mathrm f^{-1}(x)=(x-2)^2+1\), \(x\ge2\); closed endpoints \((1,2),(2,1)\); no intercepts.
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