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Math Help - Tricky question

  1. #1
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    Tricky question

    Morning Forum I am having issues with the following question any help would be appreciated:
    Attached Thumbnails Attached Thumbnails Tricky question-untitled.jpg  
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  2. #2
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    Quote Originally Posted by AlgebraicallyChallenged View Post
    Morning Forum I am having issues with the following question any help would be appreciated:
    It might help if you write

    f\circ g(x) as f(g(x))

    and

    g \circ f(x) as g(f(x)).

    Can you see what's happening now?
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  3. #3
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    I can't remember how is that sign called between the f and g..
    f\circ g(x)

    compo.. something?
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    Quote Originally Posted by metlx View Post
    I can't remember how is that sign called between the f and g..
    f\circ g(x)

    compo.. something?
    Yes it's a composition of functions.

    Let me put it this way.

    Say you had a function f(x).

    If you evaluated it at say, point x = a you would have to replace all the x's with a's.

    Here, if we had f \circ g(x) = f(g(x)), instead of substituting x with a, we'd see what happens if we replaced all the x's with whatever g(x) is.

    Does that make sense?
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