A completed-square inverse

A completed-square inverse

6 marks
TGM Original
Let f(x)=2x2+12x+11, x >= k, with k the least value for which an inverse exists. Find k, then find the inverse with its domain and range.

Solution:

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Answer:\(k=-3\); \(-3+\sqrt{\dfrac{x+7}{2}}\), \(D=[-7,\infty)\), \(R=[-3,\infty)\).

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