Aditi posted an Question
February 08, 2022 • 22:37 pm 30 points
  • IIT JAM
  • Mathematics (MA)

For a, b e r, define the map r r by )=ax + b. let g-[.i (ob)e r?] for f, g g define gof e g by (gof)(x) = g((«)). then which of the following statements is/are

For a, B E R, define the map R R by )=ax + B. Let G-[.I (oB)e R?] For f, g G define gof e G by (gof)(x) = g((«)). Then which of the following statements is/are TRUE 7 (A) The binary operationo is associative. (B) The binary operation o is commutative. (C) For every (a, B) e R, a 0 there exists (a, b) R such that 0 9a (D) (G o) is a group.

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