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Let A=B=Z, and C be the set of even integers. Let f : A → B and g : B → C be defined by f(a) = a+1,…

By definition of function composition, \((g \circ f)(a) = g(f(a)) = g(a + 1) = 2(a + 1)\).

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Let A=B=Z, and C be the set of even integers. Let f : A → B and g : B → C be defined by f(a) = a+1, g(b) = 2b. Then the composition of f and g defined as g ∘ f will be equal to

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Correct answer C

By definition of function composition, (g∘f)(a)=g(f(a))=g(a+1)=2(a+1)(g \circ f)(a) = g(f(a)) = g(a + 1) = 2(a + 1).

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