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.

Originally Posted by jillby
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.
If $g(x)=3x+4$ then simply $g\circ g(x)=g[g(x)]=3(3x+4)+4$

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