Question: Define operator o on functions as: (fog)(x) : R R, f(x) = x + 2x + 1; and g: R R, g(x) = 2.

Define operator o on functions as: (fog)(x) : R R, f(x) = x + 2x + 1; and g: R R, g(x) = 2. = f(g(x)). Define (a) Please compute fog and go f, respectively; (b) Please determine whether f and g are bijective functions, respectively. You should show why they are bijective functions or why they are not. If there are bijective functions, please also write their inverse functions. (Given a function f(x) = y, its inverse function is f-(y) = x. Note that a function has inverse function if and only if it is bijective.)

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