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(Solved): 4) Given \( f(x)=1+2^{x-1} \), find a. Find the domain and range of \( f \). b. Find any asymptotes ...
4) Given \( f(x)=1+2^{x-1} \), find a. Find the domain and range of \( f \). b. Find any asymptotes and intercepts. c. Find \( f^{-1} \) d. Find the domain of \( f^{-1} \) e. Find the range of \( f^{-1} \) f. Find any asymptotes and intercepts of \( f^{-1} \) g. Sketch the graph of \( f \) and \( f^{-1} \) on the same plane. Show all important features.
Solution A function is a special kind of relation. For a given function , is the domain of the function and is the range of the function. Steps Step1 Given a f