Use a graphing utility to graph the functions f (x) = x and g(x) = 6 arctan

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Use a graphing utility to graph the functions f (x) = √x and g(x) = 6 arctan x. For x > 0, it appears that g > f. Explain how you know that there exists a positive real number a such that g < f for x > a. Approximate the number a.
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