Option D is correct. The inverse of the given function is a function since all the element in its co-domain has a unique element in the domain.
For a mapping to be called a function, it must have but the input values called the domain and the output values known as the co-domain.
All the domains must also have a corresponding co-domain, else it is not a function.
From the given mapping, we can see that all the values in the domain have corresponding values in the co-domain and vice versa(in the case of its inverse).
Hence we can conclude that the inverse of the given function is a function making other options incorrect.
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