If f is a function on a set A= {1,2,3,4,5} such that f=(1,2),(2,3),(3,4),(4,x),(5,5). Then*f is a surjective but not bijective function.f is a bijective function.f is a surjective function.f is an injective function.

The given function f is defined on the set A={1,2,3,4,5} with the pairs (1,2), (2,3), (3,4), (4,x), (5,5).

1. Surjective Function: A function is surjective (or onto) if for every element in the codomain there is at least one element in the domain that maps to it. In this case, without knowing the value of x, we cannot definitively say if the function is surjective.

2. Bijective Function: A function is bijective if it is both injective (or one-to-one) and surjective. Since we cannot definitively say if the function is surjective, we also cannot definitively say if it is bijective.

3. Injective Function: A function is injective (or one-to-one) if every element in the domain maps to a unique element in the codomain. In this case, since each element in the domain A={1,2,3,4,5} maps to a unique element in the codomain, the function is injective.

So, without knowing the value of x, we can only definitively say that the function f is an injective function.