The binary operation ⊕ ⊕ defined on the set of real numbers is such that x ⊕ ⊕ y = xy6 x y 6 for all x, y ϵ ϵ R. Find the inverse of 20 under this operation...

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

Answer Details

$\frac{\frac{1}{20}\times 6}{6}$ = $\frac{6}{20}$ x $\frac{1}{6}$ = $\frac{1}{20}$