" X."quad (vi)" On "R-{-1}," define "^(*)*" by "a*b=(a)/(b+1).

For each opertion ** difined below, determine whether ** isw binary, commutative or associative. (i) On Z, define a **b =a - b (ii) On Q, define a **b =ab +1 (iii) On Q, define a **b = (ab)/( 2) (iv) On Z ^(+), define a **b = 2 ^(ab) (v) On Z ^(+), define a **b=a ^(b) (vi) On R - {-1}, define a **b= (a)/( b +1)

For each binary operation '*' defined below, determine whether '*' is commutative and whether '*' is associative. On R - (-1), define * by a * b = a/(b+1)

Binary operation * on R - {-1} defined by a * b= (a)/(b+a)

For each binary operation * defined below, determine whether * is commutative or associative. (i) On Z , define a ∗ b = a – b (ii) On Q , define a ∗ b = ab + 1 (iii) On Q , define a ∗ b = (ab)/(2) (iv) On Z^+ , define a ∗ b = 2^(ab) (v) On Z^+ , define a ∗ b = a^(b) (vi) On R – {– 1} , define a ∗ b = (a)/(b+1)

For each binary operation * defined below, determine whether * is commutative or associative. (i) On Z , define a ∗ b = a – b (ii) On Q , define a ∗ b = ab + 1 (iii) On Q , define a ∗ b = (ab)/(2) (iv) On Z^+ , define a ∗ b = 2^(ab) (v) On Z^+ , define a ∗ b = a^(b) (vi) On R – {– 1} , define a ∗ b = (a)/(b+1)

Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is