Question: X-1 1-x Let a(x) = 1 x, b(x) = , c(x) =,d(x) = x, e(x) = f(x) === {a(x), b(x), c(x), d(x), e(x), f(x)}

X-1 1-x Let a(x) = 1 x, b(x) = , c(x) =,d(x)

X-1 1-x Let a(x) = 1 x, b(x) = , c(x) =,d(x) = x, e(x) = f(x) === {a(x), b(x), c(x), d(x), e(x), f(x)} forms a group under composition. a. Identify which element is the identity of the group (5 pts). b. Is this group abelian or non-abelian (5 pts)? c. Which elements are their own inverses? Justify your answers (10 pts).

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