\text { Consider } g: x \mapsto 2 e^{x}-5 \text {. } \text { Find the defining equation of } g^{-1} \text {. } \text { b Sketch the graphs of } g \text { and } g^{-1} \text { on the same set of axes. } \text { c State the domain and range of } g \text { and } g^{-1} \text {. } \text { d State the asymptotes and intercepts of } g \text { and } g^{-1} \text {. }

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