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31 July, 16:24

Find the inverse of the following function of f (x) = 3 square root x+12

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Answers (2)
  1. 31 July, 17:27
    0
    f^-1 (x) = x³ - 12

    got this one right
  2. 31 July, 19:04
    0
    f^ (-1) (x) = x^3-2

    Step-by-step explanation:

    f (x) = ∛ (x+2)

    To find the inverse,

    Let

    y = ∛ (x+2)

    Replacing x with y and y with x

    x = (y+2) ^ (1/3)

    Solving for y

    x^3=[ (y+2) ^ (1/3) ]^3

    x^3=y+2

    y=x^3-2

    Finally replacing y with f-1 (x)

    f^ (-1) (x) = x^3-2
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