IB Math HL Trigonometry Test 1 2012 P2 Q4

Let \(f(x)=x\arccos x+\frac12x\) and \(g(x)=\cos2x\), for \(-1\le x\le1\).

1. On the grid, sketch the graphs of \(f\) and \(g\).[4]
2. Write down the solution of \(f(x)=g(x)\).[1]
3. Write down the range of \(g\).[1]