Question: Show that the total computable functions are closed under sums, products, and ex - ponentiation i . e . if f ( x ) and

Show that the total computable functions are closed under sums, products, and ex- ponentiation i.e. if f(x) and g(x) are computable, then so are f(x)+g(x),f(x)\times g(x) and f(x)g(x).

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