Mixed assessment · Question 2
5 written marks
Let \(f(x)=\sqrt{x+2}\), \(x\ge-2\), and \(g(x)=2x-1\), \(-1\le x\le4\).
Part a · 3 marks
Decide whether \(fg\) is defined on all of \(D_g\). If not, give its formula on the largest possible restriction of \(D_g\), stating that restriction.
Part b · 2 marks
On that restricted domain, solve \(fg(x)=3\).
Complete-answer checking, worked solutions and indicative written criteria.
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