The function $$\(\mathrm{f}\)$$ is such that $$\(\mathrm{f}(x)=5+6 x-x^{2}\)$$ for $$\(x \leqslant 3\)$$ (a) Express $$\(5+6 x-x^{2}\)$$ in the form $$\(p-(x-q)^{2}\)$$ where $$\(p\)$$ and $$\(q\)$$ are constants. (2) (b) Using your answer to part (a), find the range of values of $$\(x\)$$ for which $$\(\mathrm{f}^{-1}(x)\)$$ is positive. (5)

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