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25 March, 05:25

If f (x) = 1/2x - 10, then f^-1 (x) =

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  1. 25 March, 05:55
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    f^-1 (x) = 2x+20

    Step-by-step explanation:

    f (x) = 1/2x - 10

    To find the inverse, replace f (x) with y

    y = 1/2 x - 10

    Exchange x and y

    x = 1/2 y - 10

    Solve for y

    Add 10 to each side

    x+10 = 1/2 y-10+10

    x+10 = 1/2 y

    Multiply by 2

    2 (x+10) = 1/2y * 2

    2x+20 = y

    The inverse is

    f^-1 (x) = 2x+20
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