15. Let f. g : R → R be continuous at a point c, and let h(x) := sup (f (x). g(x)} for x e R. Show that h(x) = (f(x) + g(x)) + I (x) - g(x)| for all x e R. Use this to show that h is %3D continuous at c.

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A: Explanation of the answer is as follows

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A: f(x) = ( x2-2, x<=3            x+4, x>3

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