Mixed assessment · Question 5
5 written marks
A function \(f\) has domain \([-3,5)\) and range \([-2,4]\). Define \(g(x)=-2f(3-x)+1\). The point \((-1,4)\) lies on \(y=f(x)\).
Part a · 2 marks
Find the domain and range of \(g\).
Part b · 3 marks
Give the coordinate mapping from \(f\) to \(g\), and the image of \((-1,4)\).
Complete-answer checking, worked solutions and indicative written criteria.
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