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Find the following. fm=x2_25. g(X)= X2 x2+l (a) [f + mix} = (b) (3' 00!) = What is the domain of fig? (Enter your answer

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Find the following. fm=x2_25. g(X)= X2 x2+l (a) [f + mix} = (b) (3' 00!) = What is the domain of fig? (Enter your answer using interval notation.) S \fDetermine whether the statement is true or false. Justify your answer. when you are given two functions f(x) and g(x), you can calculate (fog)(x) if and only if the range ofg is a subset of the domain off. 0 True. The domain of fog is the range of g. If the range of g is not a subset of the domain of 1', then fog is undefined. 0 True. The domain of fog is the domain of g. If the range of g is not a subset of the domain of f, then fog is undened. 0 True. The domain of fog is the range of f. If the range of fis not a subset of the domain of Q, then fog is undened. 0 False. The domain of fag is the set of all x in the domain of 9 such that g(x) is in the domain of f, but does not include x in the domain ofg such that g(x) is not in the domain of f. 0 False. The domain of fog is the set of all x in the domain of fsuch that f(x) is in the domain of 9, but does not include x in the domain of fsuch that f(x) is not in the domain of g. um\": LInI-s')

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