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Suppose that u and g are two twice differentiable functions

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1. Suppose that U and g are two twice differentiable functions of x, both of them increasing and concave, with U %¥ 0, U % 0, g %¥ 0, and g % 0. Prove that the composite function f(x) = g(U(x)) is also increasing and concave.

Reference no: EM13975096

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