A restricted inner function
A restricted inner function
5 marks
TGM Original
f(x)=sqrt(x-2), x 2, and g(x)=5-x, 0 <= x 5. Find the formula, largest possible domain and range of fg. Find the domain of gf.
Solution:
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Answer:\(\mathrm{fg}(x)=\sqrt{3-x}\), domain \([0,3]\), range \([0,\sqrt3]\); \(D_{\mathrm{gf}}=[2,27]\).
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