Question: Let be twice-differentiable and one-to-one on an open interval I. Show that its inverse function g satisfies When is increasing and concave downward,

Let ƒ be twice-differentiable and one-to-one on an open interval I. Show that its inverse function g satisfies g"(x) = f"(g(x)) [f'(g(x))]* When ƒ is increasing and concave downward, what is the concavity of ƒ^-1 = g?

g"(x) = f"(g(x)) [f'(g(x))]*

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