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Math Help - Function Composition.

  1. #1
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    Post Function Composition.

    Trying to work out the answer to the following:

    Let f1 and f2 be two functions from N to N such that:
    f1(x) = x^2 and f2(x) = 3x + 6x^2.

    Question 1) What is the function f1 ∘ f2?
    Question 2) What is the function f2 ∘ f1?

    I am very confused by function composition and any help would be greatly appreciated!

    Thanks!
    Last edited by mr fantastic; December 8th 2011 at 01:00 PM. Reason: Title.
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  2. #2
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    Re: Function Composition - help needed!

    Replace the whole function for x, so

    f_1(f_2(x)) = (f_2(x))^2 = (3x + 6x^2)^2

    Finish it off.
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  3. #3
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    Re: Function Composition

    Quote Originally Posted by pickslides View Post
    Replace the whole function for x, so

    f_1(f_2(x)) = (f_2(x))^2 = (3x + 6x^2)^2

    Finish it off.
    Thank You ever so much
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