Exam-Style Problem

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June 2016 p12 q1
691

Functions f and g are defined by

\(f : x \mapsto 10 - 3x, \quad x \in \mathbb{R},\)

\(g : x \mapsto \frac{10}{3 - 2x}, \quad x \in \mathbb{R}, \; x \neq \frac{3}{2}.\)

Solve the equation \(ff(x) = gf(2)\).

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