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Ricardo M. asked • 12/19/19 Let f be a differentiable function such that f(3)=15, f(6)=3, f (3)= -8, and f (6)= -2. The function g is differentiable and g(x)= f inverse (x) for all x. What is the value of g (3)

Since f(π) = π^2 < 100, f(10π) = 100π^2 > 100, and f is continuous on the closed interval [π, 10π], the intermediate value theorem ensures the existence of a number c in (π, 10π) such that f(c) = 100.

Let x be the length (in in.) of the side of the square at each corner. x = in. (Round your answers to two decimal places, if necessary.). Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f (x) = (b) State the domain of this function. (Enter your answer using interval notation.)

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