For the function f:[1, ∞) ⟶[1, ∞) defined by f(x)=(x−1)4+1f(x)=(x-1)^{4}+1f(x)=(x−1)4+1, among the two statements : (I) The set S={x∈[1,∞):f(x)=f1(x)}S=\{ x \in [1,\infty) : f(x)=f^{1}(x) \}S={x∈[1,∞):f(x)=f1(x)} contains exactly two elements, and (II) The set S={x∈[1,∞):f(x)=f1(x+1)}S=\{ x \in [1,\infty) : f(x)=f^{1}(x+1) \}S={x∈[1,∞):f(x)=f1(x+1)} is an empty set,
only (I) is TRUE
only (II) is TRUE
both (I) and (II) are TRUE
neither (I) nor (II) is TRUE