Let E equals left curly bracket x element of straight natural numbers : space 2 vertical line x right curly bracket , the even non-negative integers, and O equals left curly bracket x element of straight natural numbers : space there exists c element of straight integer numbers comma space x equals 2 c plus 1 right curly bracket , the odd non-negative integers. Determine whether the function g : O rightwards arrow straight integer numbers defined by g (x )space equals space (n plus 1 )divided by 2 is one-to-one, and whether it