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11. Find the domain of the function g(x) = 5 - V x2 - 15. In some contexts, a function f (x ) is

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11. Find the domain of the function g(x) = \\ 5 - V x2 - 15. In some contexts, a function f (x ) is said to be a special function if o f(ca) = cf(x), for any constant c, and No. 1 of(x ty) = f(x) + f(y), for all x, y E Dom(f) Using this definition determine which of the following are special functions, a. f(a) = 3x b. g(ac) = 4x + 2 c. h(x) = 5 d. j(x) = 0 e. k(a) = x2+ 34. Find (f o g) (x) and (go f) (a). Find also the domain for each composition. 1 f( ac) = Vx+1 g(a) = 2 2 - 1

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