(I) Let `**` be a binary operation defined by `a**b=2a+b-3.` Find `3**4.`  (ii) let `**` be a binary
Channel: Doubtnut
Date: 2020-05-09

(I) Let `**` be a binary operation defined by `a**b=2a+b-3.` Find `3**4.`  (ii) let `**` be a binary operation on `RR-{-1}`, defined by `a**b=(1)/(b+1)` for all `a,binRR-{-1}` Show that `**` is neither commutative nor associative.  (iii) Let `**` be a binary operation on the set `QQ` of all raional numbers, defined as `a**b=(2a-b^(2))` for all `a,binQQ`. Find `3**5` and `5**3`. Is `3**5=5**3?`