A composite missing one output

A composite missing one output

6 marks
TGM Original
Let f(x)=sqrt(x), x 0, and g(x)= x-1x+2, x!= -2. Find the formula, largest restricted domain and range of fg.

Solution:

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Answer:\(\sqrt{\dfrac{x-1}{x+2}}\); \(D=(-\infty,-2)\cup[1,\infty)\), \(R=[0,1)\cup(1,\infty)\).

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