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Define f(x, y) = (x, y) || on R2 and let g(x) : R - R be a bounded function. (a) Prove that f is

Define f(x, y) = (x, y) || on R2 and let g(x) : R - R be a bounded function. (a) Prove that f is continuous. (b) Prove that go f is bounded on R2

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