The function $$\(g\)$$ is defined as $$\[ \mathrm{g}: x \mapsto 5+6 x-x^{2} \quad \text { with domain }\{x: x \geqslant 3\} \]$$ (a) Express the inverse function $$\(\mathrm{g}^{-1}\)$$ in the form $$\(\mathrm{g}^{-1}: x \mapsto \ldots\)$$ $$\[ \mathrm{g}^{-1}: x \mapsto \]$$ (4) (b) State the domain of $$\(\mathrm{g}^{-1}\)$$ (1)

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