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(1 point) Suppose f, g: R² + R2 are continuous functions, where g is surjective. Determine if the following sets are open, cl

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Answer #1

fog :lR² R² are continuous functions and g is swjective. To answer the given questions, we need to know 092 then rem, Theoremf 1 and g are both continuous so, fog:lR² YIR² is also continuous § (1, 2)} is a singleton set in 18², which is closed. Hencef and a are both continuous, so ft g is continuous f+g: 1R² R² be defined by (tg)(x) = f(x) + f2), & FIR? {(x,y) / x70} BGIR²

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(1 point) Suppose f, g: R² + R2 are continuous functions, where g is surjective. Determine...
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