Question

A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is 0.16 − 0.000002x dollars, and the total cost of producing the order is 0.091x − 0.0000005x2 dollars.Use the fact thatprofit = revenue − costto express P(x), the profit on an order of x stickers, as a difference of two functions of x.P(x) =Usef(x) = 3x − 4andg(x) = 6 − x2to evaluate the expression.(a) f(g(0)) (b) g(f(0)) f(x) = x − 4, g(x) = |x + 4|Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.)

          A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is 0.16 − 0.000002x dollars, and the total cost of producing the order is 0.091x − 0.0000005x2 dollars.Use the fact thatprofit = revenue − costto express P(x), the profit on an order of x stickers, as a difference of two functions of x.P(x) =Usef(x) = 3x − 4andg(x) = 6 − x2to evaluate the expression.(a)    f(g(0)) (b)    g(f(0)) f(x) = x − 4,   g(x) = |x + 4|Find (f ∘ g)(x).   Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.)   Find (g ∘ f)(x).   Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.)   Find (f ∘ f)(x).   Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.)   Find (g ∘ g)(x).   Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.)

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