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22 March, 11:18

What is the inverse of y = 3x + 9? A. y = 1/3x - 3 B. y = 1/3x + 9 C. y = - 1/3x - 3 D. y = 9x + 3

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  1. 22 March, 14:44
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    1/3x - 3

    Step-by-step explanation:

    To find the inverse, we exchange x and y and then solve for y

    y = 3x+9

    Exchange x and y

    x = 3y+9

    Then solve for y

    Subtract 9 from each side

    x-9 = 3y+9-9

    x-9 = 3y

    Divide by 3

    1/3 (x-9) = 3y/3

    1/3 (x-9) = y

    Distribute

    1/3x-3 = y

    The inverse is 1/3 x - 3
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