Given the following functions:
[tex]\begin{gathered} f(x)=3x^2+4 \\ g(x)=3x-2 \end{gathered}[/tex]
We will form the composition ( f o g)(x)
So, substitute with the function (g) into the function (f)
[tex](f\circ g)(x)=3(3x-2)^2+4[/tex]
Simplify the expression:
[tex]\begin{gathered} (f\circ g)(x)=3(9x^2-12x+4)+4 \\ (f\circ g)(x)=27x^2-36x+12+4 \\ \\ (f\circ g)(x)=27x^2-36x+16 \end{gathered}[/tex]
So, the answer will be;
[tex](f\circ g)(x)=27x^{2}-36x+16[/tex]
