A rational inverse with a negative pole

A rational inverse with a negative pole

5 marks

TGM Original

Let f(x)= 4-xx+2, x>-2. Find its inverse, including domain and range.

Solution:

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Answer:\(\mathrm f^{-1}(x)=\dfrac{4-2x}{x+1}\), \(D=(-1,\infty)\), \(R=(-2,\infty)\).

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