A reflected quadratic branch
A reflected quadratic branch
6 marks
TGM Original
Let f(x)=x2-1, x 0. Find its inverse. On equal-scale axes, sketch both graphs and y=x, labelling the intercepts and corresponding endpoints.
Solution:
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Answer:\(\mathrm f^{-1}(x)=\sqrt{x+1}\), \(x\ge-1\); endpoints \((0,-1),(-1,0)\); other intercepts \((1,0),(0,1)\).
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