9709 P1 - Nov 2004 - Q9
714
The function \(f : x \mapsto 2x - a\), where \(a\) is a constant, is defined for all real \(x\).
(i) In the case where \(a = 3\), solve the equation \(ff(x) = 11\).
The function \(g : x \mapsto x^2 - 6x\) is defined for all real \(x\).
(ii) Find the value of \(a\) for which the equation \(f(x) = g(x)\) has exactly one real solution.
