E-IG02 · Two separated reflected branches
Let \(f(x)=(x-1)^2+2\), \(x\ge1\).
Find its inverse, including domain and range.
Sketch \(f\), \(f^{-1}\) and \(y=x\), labelling the two endpoints.
Prove that the graphs have no common point.
Complete-answer checking, worked solutions and indicative written criteria.
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