Reversing a decreasing square root

Reversing a decreasing square root

5 marks
TGM Original
Let h(x)=4-sqrt(x+2), x >= -2. Find its inverse and state its domain and range. Explain why the inverse formula cannot be used for every real input.

Solution:

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Answer:\((4-x)^2-2\), \(D=(-\infty,4]\), \(R=[-2,\infty)\).

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