If $m*n=n-(m+2)$for any real number m and n find the value of $3*(-5)$

A binary operation on the set of real numbers excluding –1 is such  that, for all m, n $\varepsilon $ R, $m\Delta n=m+n+mn$. Find the identity element of the operation

A binary operation * defined on the set of positive integer is such that that $x*y=2x-3y+2$ for all positive integers x and y. The binary operation is

Question 21
A binary operation $\Delta $is defined by $a\Delta b=a+b+1$for any real number a and b, Find the inverse of the real number 7 under the operation$\Delta $, if the identity element is -1

A binary operation $\oplus $ on real numbers is defined by $x\oplus y=xy+x+y$for any two real numbers x and y . The value of $(-\tfrac{3}{4})\oplus 6$ is

The binary operation defined on the set of real number is such that $x\oplus y=\frac{xy}{6}$for all $x,y\in \mathbb{R}$. Find the inverse of 20 under the operation when the identity element is 6

A binary operation * on the set of rational number is defined as $x*y=\frac{{{x}^{2}}-{{y}^{2}}}{2xy}$ find –5*3

An operation * is defined on the set of real numbers by $a*b=ab+2(a+b+1)$find the identity element

If the operation * on the set of integer is defined by $p*q=\sqrt{pq}$, find the value of $4*(8*32)$

The binary operation $*$ is defined on the set of integers p and q by $p*q=pq+p+q,$find $2*(3*4)$