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. (4 marks) Let f(x) be a function defined on the interval [10,10] having a unique critical point at x = 5. Consider the function g(z) = 30f(20x + 10) defined on the interval [1,0]. Which of the following statements are correct? E If x =5 is a local maximum of f(x), then x = % is a local maximum of g(x) . If z =5 is a local maximum of f(z), then x = % is a local minimum of g(x) EI If z =5 is a local minimum of f(z), then z = % is a local minimum of g(x) - If z =5 is a local minimum of f(z), then z = % is a local maximum of g(x)