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Tabby
Lv 4
Tabby 發問於 科學及數學數學 · 1 十年前

Maths question (Function 2)

Let f (x) = x - 3 & g (x) = 3 - x

Write the function (calculate step by step):

i) f ( g (x) )

ii) g ( f (x) )

更新:

Wrong answers by Mr. Knowledge:

f (g (x) ) should invariably equate to g (f (x) ).

U may substitute these unknowns f, g, x to prove.

更新 2:

Sorry yor~ Mr. Knowledge:

It should be my own misunderstanding !

In general, f (g (x) ) = g (f (x) ).

Yet, this time, it's conditional with those "let" substitutes !

Only (ii) has a careless mistake in your answer.

3 個解答

評分
  • 1 十年前
    最愛解答

    圖片參考:http://i256.photobucket.com/albums/hh172/hkchelsea...

    If you have any questions, please feel free to ask.

    資料來源: My Maths knowledge
  • Tabby
    Lv 4
    1 十年前

    It shouldn't be big~ Just a little mistake~ Yet, your helping action is so quick~ TKS anyway !

  • ?
    Lv 7
    1 十年前

    i) f[g(x)]

    = f(3-x)

    = (3-x) - 3

    = -x

    ii) g[f(x)]

    = g(x-3)

    = 3 - (x-3)

    = 3 + 3

    = 6

    2010-10-12 18:22:39 補充:

    Lol, I made a big careless mistake in (ii)

    資料來源: Knowledge is power.
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