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18 April, 11:00

Find the inverse of f (x) = 1 + square root (1+x)

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Answers (2)
  1. 18 April, 11:02
    0
    Here is the best answer in the world x^2-2x
  2. 18 April, 11:20
    0
    To find inverse

    replace f (x) with y

    replace all x with y and all y with x

    solve for y

    replace y with f⁻¹ (x)

    so

    f (x) = 1+√ (1+x)

    y=1+√ (1+x)

    x=1+√ (1+y)

    minus 1 both sides

    x-1=√ (1+y)

    square both sides

    x²-2x+1=1+y

    minus 1 both sides

    x²-2x=y

    f⁻¹ (x) = x²-2x

    the inverse is f⁻¹ (x) = x²-2x
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