The Elementary Functions (F18's) are the set of functions of one real variable defined recursively as follows: Base cases: The identity function id. x / WWD x is an F18, any constant function is an F18, the sine function is an F18, Constructor cases: If f; g are F18's, then so are 1. f C g, fg, 2 g, 2. the inverse function f 1, 3. the composition f ı g. Prove that the function 1=x is an F18.
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