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June 2023 p13 q7
700
The function f is defined by \(f(x) = 2 - \frac{5}{x+2}\) for \(x > -2\).
The function g is defined by \(g(x) = x + 3\) for \(x > 0\).
Obtain an expression for \(fg(x)\) giving your answer in the form \(\frac{ax+b}{cx+d}\), where \(a, b, c\) and \(d\) are integers.
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