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Vijay posted an Question
July 19, 2022 • 14:44 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Q.36 let m be a positive real number and let u, v: r r be continuous functions satistying ux. y+ vz.y) 2m + y for all (x,y) e r. let f: r r be given by fx.y)= (

Q.36 Let M be a positive real number and let u, v: R R be continuous functions satistying ux. y+ vz.y) 2M + y for all (x,y) e R. Let F: R R be given by Fx.y)= (u(x, y), vx, y)) for (x, ) e R Then which of the following is'are true? (A) F is injective (B) If K is opcen in E, then F(K) is open in E. C) If Kis closed in B, then F(K) is closed in R (D) fE is closed and bounded in R, then F1(E) is closed and boundod in R. 6o1ou

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