The functions f and g are both defined on the domain of all real numbers with f(x) = x^3 and g(x) = 5x + 2. (a) Write equations for the functions f ◦ g and g ◦ f. (b) h(x) = (1/5x+2)^3 . What are the domain and range of h? (c) Find an equation for a function, k, so that h is equal to ONE of these compositions: f ◦ k, k ◦ f, g ◦ k, k ◦ g, or f ◦ k ◦ g. Be sure to show how your composition results in h.

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A:

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A: