Solve each application of operations and composition of functions.
Area of an Equilateral Triangle The area of an equilateral triangle with sides of length x is given by
(a) Find the function representing the area of an equilateral triangle with sides of length twice the original length.
(b) Find analytically the area of an equilateral triangle with side length 16. Use the given formula for .
(c) Support the result of part (b) graphically.
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