NYJC P1 Q10b

The function $g: x \mapsto 2 - \frac{5x}{1+x^2}, x \in \mathbb{R}$
(i) Use an algebraic method to find the range of g.

(ii) State a sequence of transformations which transform the graph of $y=g(x)$ to the graph of $y = \frac{10x}{4+x^2}$