| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2016 |
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| Session | June |
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| Topic | Composite & Inverse Functions |
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1 Functions f and g are defined by
$$\begin{aligned}
& \mathrm { f } : x \mapsto 10 - 3 x , \quad x \in \mathbb { R } ,
& \mathrm {~g} : x \mapsto \frac { 10 } { 3 - 2 x } , \quad x \in \mathbb { R } , x \neq \frac { 3 } { 2 }
\end{aligned}$$
Solve the equation \(\mathrm { ff } ( x ) = \mathrm { gf } ( 2 )\).