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5 January, 16:53

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24? A.{12, 4, - 6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, - 4, 6}

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  1. 5 January, 19:58
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    {12, 4, - 6}

    Step-by-step explanation:

    The relation is given by the equation as 12x + 6y = 24 ... (1)

    Now, the domain of this function is {-4, 0, 5}

    We have to find the range of this function corresponding to the given domain.

    Now, for x = - 4,

    12 (-4) + 6y = 24 {From equation (1) }

    ⇒ 6y = 72

    ⇒ y = 12

    Now, for x = 0,

    12 (0) + 6y = 24 {From equation (1) }

    ⇒ 6y = 24

    ⇒ y = 4

    Now, for x = 5,

    12 (5) + 6y = 24 {From equation (1) }

    ⇒ 6y = - 36

    ⇒ y = - 6

    Hence, the range for the relation is {12, 4, - 6} (Answer)
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