Choosing the inverse branch
Choosing the inverse branch
5 marks
TGM Original
f(x)=(x-2)2+1, x 2. Find f-1, stating its domain and range. Explain why the restriction is needed. Sketch the function and inverse, showing their corresponding endpoints.
Solution:
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Answer:\(\mathrm{f}^{-1}(x)=2-\sqrt{x-1}\), domain \([1,\infty)\), range \(( -\infty,2]\).
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