Question: Consider the function g(x) = ln(x 1) + e^x^(2)-3+ (x^24)^5/3. 1. Show it is invertible. 2. Find g^-1(e) 3. Find the derivative of g^-1 at

Consider the function g(x) = ln(x 1) + e^x^(2)-3+ (x^24)^5/3.

1. Show it is invertible.

2. Find g^-1(e)

3. Find the derivative of g^-1 at x=e.

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