Suppose the functions f and g are both differentiable, and y = f(x) and x =...

 

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Suppose the functions f and g are both differentiable, and y = f(x) and x = g(y) are inverse functions. Use the table, which lists the values of f, f', and g for select numbers x, to find g' (3). X -1 0 2 3 6 f(x) 1 3 4 5 9 f'(x) 21/12 122 1524 g(x) -2 134 5 Suppose the functions f and g are both differentiable, and y = f(x) and x = g(y) are inverse functions. Use the table, which lists the values of f, f', and g for select numbers x, to find g' (3). X -1 0 2 3 6 f(x) 1 3 4 5 9 f'(x) 21/12 122 1524 g(x) -2 134 5