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3110 Let T be the ring of continuous functions from R to R and let f,g be given by f(x) = ˆ 0 if x ≤ 2 x−2 if 2 < x, g(x) = ˆ 2−x if x ≤ 2 0 if 2 < x Show that f,g ∈ T and that fg = 0 T, and therefore that T is not an integral domain Well, f and g are certainly continuous on the intervals (−∞,2) and (2,∞) since they are. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor. ( b&ì Ø c ö $× _ c 2 ( b5 ^ g* _ ô M @ Ç b è x3 / b ó ² ò m A'g _ 6 Q&É \ K Z b Ô# @ E Z 8 \ 8 I _ c 5 u b ( \ M r $ª4#1 >& » V4# »´ Z » V4# » / '¼>' Ç b#Õ è l g ú ã 'ö#.

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