Recent content by Necrologist

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    Is Composition of Discontinuous and Continuous Functions Always Continuous?

    so for g o f(x) do we have g(f(x))= g(4)=x^2 for x > or = 0 and g(0)=x^2 for x < 0 ? And dom(g o f) = {0, 4}? The graph would be only two points?
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    Is Composition of Discontinuous and Continuous Functions Always Continuous?

    Homework Statement f(x) = 4 for x > or = 0, f(x) = 0 for x < 0, and g(x) = x^2 for all x. Thus dom(f) = dom(g) = R. Homework Equations a. Determine the following functions: f+g, fg, f o g, g o f. Be sure to specify their domain. b. Which of the functions f, g, f+g, fg, f o g...
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