1.

Let Q be the set of all rational numbers and let ** be a binary operation on QxxQ defined by (a,b)**(c,d)=(ac,b+ad). Determine whether ** is commutative and associative. Find the identity element for ** and invertible elements of QxxQ. Or Let f:[0,oo) toR be a function defined by f(x) =9x^(2)+6x-5. Prove that f is not invertible. modify only the condomin of f to make f invertible and then find its inverse.

Answer»


Answer :`**` is not COMMUTATIVE, `**`isassociative, (1,0) is the INDENTITY, inverse of (a,b) is `((1)/(a),(-b)/(a))`
Or, `f^(-1)(y)=(SQRT(y+6)-1)/(3)`


Discussion

No Comment Found

Related InterviewSolutions