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30 October, 15:17

What is the inverse of f (x) = (x+6) 2 for x≥-6 where function g is the inverse of function f?

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Answers (2)
  1. 30 October, 15:31
    0
    g (x) = √x - 6, x ≥ 0
  2. 30 October, 19:11
    0
    Sorry my mistake, it is actually worded as "f (x) = (x+6) ^2"

    Explanation:

    y

    =

    (

    x

    +

    6

    )

    2

    with

    x



    -

    6

    , then

    x

    +

    6

    is positive, so



    y

    =

    x

    +

    6

    And

    x

    =



    y

    -

    6

    for

    y



    0

    So the inverse of

    f

    is

    g

    (

    x

    )

    =



    x

    -

    6

    for

    x



    0
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