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14 January, 00:48

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) }

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  1. 14 January, 03:18
    0
    The inverse of the relation is { (-10, 9), (-2, 2), (-7, 8), (-13, 13) } ⇒ 3rd

    Step-by-step 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) }
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