$\begin{array}{rl}g(x)& =x^3+2\\ \\ g(3)& =(3{)}^3+2\text{ჩასვით }x=3.\\ \\ & =29\end{array}$‍

$\begin{array}{rl}f(x)& =3x-1\\ \\ f(29)& =3(29)-1\text{ჩასვით }x=29.\\ \\ & =86\\ \end{array}$‍

$\begin{array}{rl}f(x)& =3x-1\\ \\ f(g(x))& =3(g(x))-1\end{array}$‍

$\begin{array}{rl}f(g(x))& =3(g(x))-1\\ \\ & =3(x^3+2)-1\\ \\ & =3x^3+6-1\\ \\ & =3x^3+5\end{array}$‍

$\begin{array}{rl}f(g(x))& =3x^3+5\\ \\ f(g(3))& =3(3{)}^3+5\\ \\ & =86\end{array}$‍

$(f\circ g)(x)=f(g(x))$‍

$\begin{array}{rlr}(h\circ g)(x)& =h(g(x))& \text{განსაზღვრეთ.}\\ \\ & =(g(x){)}^2-2(g(x))& \text{ჩასვით}g(x)\text{ x-ის ნაცვლად }\text{ ფუნქციაში }h.\\ \\ & =(x+4{)}^2-2(x+4)& \text{ჩაანაცვლეთ}x+4\text{ g(x)-ს }.\\ \\ & =x^2+8x+16-2x-8& \text{გადაანაწილეთ.}\\ \\ & =x^2+6x+8& \text{გააერთიანეთ მსგავსი წევრები.}\end{array}$‍

$\begin{array}{rl}(h\circ g)(x)& =x^2+6x+8\\ \\ (h\circ g)(-2)& =(-2{)}^2+6(-2)+8\\ \\ & =4-12+8\\ \\ & =0\\ \end{array}$‍

$\begin{array}{rl}(h\circ g)(-2)& =h(g(-2))\\ \\ & =h(2)\text{რადგან }g(-2)=-2+4=2\\ \\ & =0\text{რადგან }h(2)=2^2-2(2)=0\\ \end{array}$‍