Problem

Problem

Let f(x)=x2−2xf(x) = x^2 - 2x and g(x)=f(f(x)−1)+f(5−f(x))g(x) = f(f(x) - 1) + f(5 - f(x)) , then a. g(x)<0,∀x∈Rg(x) < 0, \forall x \in R b. g(x)<0g(x) < 0 , for some x∈Rx \in R c. g(x)≥0g(x) \ge 0 , for some x∈Rx \in R d. g(x)≥0,∀x∈Rg(x) \ge 0, \forall x \in R

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