\text { For the function } g: x \mapsto \log _{3}(x+2)-2: a Find the domain and range. 6 Find any asymptotes and axes intercepts for the graph of the function.

c Find the defining equation for g¯'. Explain how to verify your answer. \text { Sketch the graphs of } g, g^{1} \text {, and } y=x \text { on the same axes. }