Seema Asked a Question
August 27, 2020 4:05 pmpts 30 pts
2 Let f: R R and g : la, b] > R 1. be defined as flx) =x Vx e R and glx) = * Vxe la, b]. Then : (A) f and g both are uniformly continuous (B) fis uniformly continuous and g is continuous (C) f is continuous and g is uniformly continuous (D) fand g both are continuous but not uniformly continuouus
  • 1 Answer(s)
  • Shares
  • Seema
    option C is correct
    Likes(0) Reply(0)
  • Shashi ranjan sinha thankyou
    However, f is not UC while g is UC....see the attachments
    • cropped2358981547513069313.jpg
    • cropped7163446465555388534.jpg
    Likes(0) Reply(0)
  • Shashi ranjan sinha
    We know that polynomial functions are continuous on R, so x² is also continuous on R and hence f & g are continuous function
    Likes(0) Reply(0)