Random Questions from 2016 Prelims #8

ACJC P2 Q3

The function g is defined by

g: x \mapsto \begin{cases} 2x, & \text{for }0 \le x \le \frac{1}{2} \\ 2-2x, & \text{for } \frac{1}{2} \le x \le 1 \end{cases}

(ii) Explain why the composite function gg exist.

(iii) Sketch the graph of gg(x).

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