Let g(x) = 3f x-3 + f(3 x) and f" for all xe(0, 3). If g is decreasing in (0, a) and increasing

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47. Suppose f and g are continuous functions such that g(2)=6 and (lim)(x→2)[3f(x)+f(x)g(x)]=36. 47. Suppose f and g are continuous functions such that g(2)=6 and (lim)(x→2)[3f(x)+f(x)g(x)]=36.