Question: 4. Consider the function g(r) = In(x - 1) +ex-3 + (x2 - 4)5/3 (a) Find the domain of g. (b) Find g'(x). (c) Can

4. Consider the function g(r) = In(x - 1) +ex-3 +

4. Consider the function g(r) = In(x - 1) +ex-3 + (x2 - 4)5/3 (a) Find the domain of g. (b) Find g'(x). (c) Can your answers to the previous part(s) show that g is invertible? Explain briefly. (d) Find g-1(e). (e) Find the derivative of g 1 at I = e, i.e. find (g-1)'(e)

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