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Nov 2003 p1 q10
703

Functions f and g are defined by

\(f : x \mapsto 2x - 5, \quad x \in \mathbb{R},\)

\(g : x \mapsto \frac{4}{2-x}, \quad x \in \mathbb{R}, \; x \neq 2.\)

Find the value of \(x\) for which \(fg(x) = 7.\)

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