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A composite with restricted inputs

A composite with restricted inputs

5 marks
TGM Original
Let f(x)=sqrt(x-1), x 1, and g(x)=7-2x, 0 <= x 4. Find fg(x) on its largest possible restricted domain and state its range. Explain why it is not defined on all of D_ g.

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Answer:\(\sqrt{6-2x}\), domain \([0,3]\), range \([0,\sqrt6]\).

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