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Question: 1 a suppose g r r is continuous at1...

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1. (a) Suppose g: R → R is continuous at-1. Using the єд-characterization of continuity (Theorem 2.2.2), prove that f(x) 3g(x) - 5 is continuous at (b) Write down the negation of the eS-condition in Theorem 2.2.2 in a form that is usable in the next part (c) Use the neagtion of part (b) to prove that f is not continuous at 2: 0, x〈2. 1, r2 2 f: RR, f(x) -Theorem 2.2.2 Let f be defined on a interval I C R. Then f is continuous at Xo E if and only if for each > 0 exists δ > 0 such that (45)

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