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Thread: Composition of Functions Problem - Please Help!

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    Composition of Functions Problem - Please Help!

    I am not even sure how to correctly state this problem but it is my understanding it is a composition of functions. There is a small open circle in between the g's instead of a multiplication, addition, subtraction or division sign. Problem is (g (open circle sign)g)(x) g(x)=3x+4

    Would I simply plug g into g as follows to solve this? 3(3x+4) + 4? Also, do I solve for x for the inner value (in this case 3x+4) before plugging it into the outer function or does it matter? I realize I might be using incorrect terminology so please forgive.

    I am attaching a photo of the problem just in case my explanation makes no sense.Composition of Functions Problem - Please Help!-img_0181.jpg
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    Re: Composition of Functions Problem - Please Help!

    Quote Originally Posted by jillby View Post
    I am not even sure how to correctly state this problem but it is my understanding it is a composition of functions. There is a small open circle in between the g's instead of a multiplication, addition, subtraction or division sign. Problem is (g (open circle sign)g)(x) g(x)=3x+4

    Would I simply plug g into g as follows to solve this? 3(3x+4) + 4? Also, do I solve for x for the inner value (in this case 3x+4) before plugging it into the outer function or does it matter? I realize I might be using incorrect terminology so please forgive.
    I am attaching a photo of the problem just in case my explanation makes no sense.Click image for larger version. 

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    If $g(x)=3x+4$ then simply $g\circ g(x)=g[g(x)]=3(3x+4)+4$
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  3. #3
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    Re: Composition of Functions Problem - Please Help!

    $(g \circ g)(x) = g(g(x))$

    $g(x) = 3x+4$

    $g(g(x)) = 3(3x+4) + 4 = 9x+12+4 = 9x+16$
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