Question: (1) Let f (x) = 3x 1 x + 2 . We can consider this formula as defining a function with co-domain R. However, the

(1) Let f (x) = 3x 1 x + 2 . We can consider this formula as defining a function with co-domain R. However, the expression does not make sense for all x R, so the domain of f is not R. (a) What is the maximal subset D R for which this expression defines a function f : D R? (b) Let f : D R be the function given by f (x) = 3x 1 x + 2 , where D is the set in (a). Find the range (or image) of f . Prove the claim. (It is required to not use calculus)

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