Question: R and 9: R' > R be continuous> 3. Let f: R' > R and 9: R' > R be continuous functions on R1. a.

3. Let f: R'\" > R and 9: R'\" > R be continuous functions on R1\". a. Prove that the zero set of f Z(f) z: {m E R\" | f(m) = U} is closed. b. Prove that the set {as E R\" | f(m) = g(a:)} is Closed. (3. Prove that the set {as E R\" | f(m) > g(a:)} is open

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