Question

Find the inverse of the given relation. {(9, –10), (2, –2), (8, –7), (13, –13)}

{(–10, 9), (2, –2), (–7, 8), (–13, 13)}

{(–10, 9), (–2, 2), (–7, –8), (–13, 13)}

{(–10, 9), (–2, 2), (–7, 8), (–13, 13)}

{(–10, 9), (–2, 2), (–7, 8), (–13, –13)}

Answer 1

The inverse of the relation is {(-10 , 9) , (-2 , 2) , (-7 , 8) , (-13 , 13)} ⇒ 3rd

Explanation:

- The inverse relation is a relation that we switched their inputs and

outputs

- A relation R1 is the inverse of a relation R if y = R (x) then x = R1 (y).

- In R = f(x), x is the input and y is the output , in x = R1 (y), y is the input

and x is the output

- Ex: The inverse of the relation R(x) = {(-2 , 3) , (1 , 5) , (3 , 0)} is

R1(x) = {(3 , -2) , (5 , 1) , (0 , 3)}

* Lets solve the problem

- The relation is {(9 , -10) , (2 , -2) , (8 , -7) , (13 , -13)}

∵ x = 9 , 2 , 8 , 13

∵ y = -10 , -2 , -7 , -13

- To make the inverse relation we will switch x and y

∴ In the inverse relation

x = -10 , -2 , -7 , -13

y = 9 , 2 , 8 , 13

∴ The inverse of the relation is {(-10 , 9) , (-2 , 2) , (-7 , 8) , (-13 , 13)}