Define an identity.

Define identity element for a binary operation defined on a set.

Define identity element for a binary operation defined on a set.

Define identity function. (A) A function f A to A is said to be an identitiy function on A if f(x) = x, AA x in A .

For each binary operation * defined below, determine the identity element. On Q -{1} such that a*b= a +b -ab .

For each binary operation * defined below, determine the identity element. On Q^(+) , all positive rational numbers defined by a*b= (ab)/(2) .

For binary operation * defined on 8 -{1}, such that a**b=a+b-ab . Determine the identity element.

Let S=Q-(1) and is defined in S as a ** b =a+b-ab for all a,b, in G . Verify existence of identity .

If the binary operation . on the set Z is defined by a.b =a+b-5, then find the identity element with respect to ..