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Problem 4 Definition: The composition of two functions f : A + B and g: B + C is defined to be a new function

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Problem 4 Definition: The composition of two functions f : A + B and g: B + C is defined to be a new function h: A + C where h(x) = g(f(x). The composition of f and g is denoted go f. (Note the order of the functions in the parenthesis - we apply f first, and g second. The notation reflects this order). Give a simplified formula or description for the composition of f and g for the following: (c) Let [0,1] be the interval from 0 to 1 (in otherwords, [0, 1] = {x R : 0

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