Proccess is key

2 5:5 :5 + 5 . Let F = {:12 E 'R, : f (:12) is strictly increasing} and Consider the following functions: f (:3) = and 6"" + log(x + 2) 9(33) = W G denote the domain of 9(32). (21) Find G \\ F. (b) Is G C F? (c) Find 72+ \\ G. 2. Consider a function f (x) such that f' (x) is strictly decreasing for all [10%] E (-2, 20) and increasing otherwise. Moreover f' (x) 0 for all x > 40. (b) Af(2) + (1 - A)f(y) > f(Xx + (1 - X)y) for all x, y E (-2, 9) and for any X E (0, 1 ) . (c) Af(x) + (1 - X)f(y) 2 f(Xx + (1 - X)y) for all x, y E (20, 40) and for any X E (0, 1 ) . (d) Af(x) + (1 - X)f(y) 2 f(Xx + (1 - X)y) for all x, y E (10, 15) and for any * E (0, 1 ) . (e) f (x) is decreasing in (-2, 9)