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June 2003 p1 q5
704
The function f is defined by \(f : x \mapsto ax + b\), for \(x \in \mathbb{R}\), where \(a\) and \(b\) are constants. It is given that \(f(2) = 1\) and \(f(5) = 7\).
Find the values of \(a\) and \(b\).
Solve the equation \(ff(x) = 0\).
Solution
(i) We have two equations from the given conditions: