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(2 marks) Let f : IR -+ IR be an arbitrary function. Consider the function g() = cosh (In(f(x))) . For the maximal domain of

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(2 marks) Let f : IR -+ IR be an arbitrary function. Consider the function g() = cosh (In(f(x))) . For the maximal domain of g we need to impose the condition In(f(I)) > a O In(f(=)) > a O |In(f(=))| a where Therefore this gives us the following condition for the domain of g, Of(I) ( [b, c) O f(I) E (-00, b) U (c, 00) Of(=) Elb,c O f(I) E (b, c) Of(I) E (b,c Of(I) E (-00, b] U [c, 00) where b= and c = OGG . (For oo write infinity) Please Navigate to the end of the Exam if you wish to submit

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