Random Questions from 2016 Prelims #2

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}

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