Let the relation ( R ) be defined on the set of real numbers by ( R = {(x, y) | x = 2y + 3} ). Find the inverse of the relation ( R ).

Question

Accepted Answer

Step:1 ：Write the equation for the relation in the form ( y = f(x) ), which gives ( y = frac{x - 3}{2} ).Step:2 ：The inverse of a relation is found by exchanging ( x ) and ( y ). So, replacing ( x ) with ( y ) and ( y ) with ( x ), we get ( x = frac{y - 3}{2} ).Step:3 ：Finally, write the equation for the inverse relation in the form ( y = g(x) ), which gives ( y = 2x + 3 ).

Answer

Step: 1 ：Write the equation for the relation in the form ( y = f(x) ), which gives ( y = frac{x - 3}{2} ).Step: 2 ：The inverse of a relation is found by exchanging ( x ) and ( y ). So, replacing ( x ) with ( y ) and ( y ) with ( x ), we get ( x = frac{y - 3}{2} ).Step: 3 ：Finally, write the equation for the inverse relation in the form ( y = g(x) ), which gives ( y = 2x + 3 ).

Let the relation $R$ be defined on the set of real numbers by $R = {(x, y) | x = 2 y + 3}$ . Find the inverse of the relation $R$ .

Answer

Popular Problems

Let the relation R be defined on the set of real numbers by R={(x,y)|x=2y+3}. Find the inverse of the relation R.

Answer

Popular Problems

Let the relation $R$ be defined on the set of real numbers by $R = {(x, y) | x = 2 y + 3}$ . Find the inverse of the relation $R$ .