\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 {. }