ANSWER
[tex](g\circ f)(x)=294x^2+168x+22[/tex]
EXPLANATION
We want to find the composition:
[tex](g\circ f)(x)[/tex]
This is the same as:
[tex]g(f(x))[/tex]
In other words, substitute the function f(x) for x in g(x):
[tex]\begin{gathered} (g\circ f)(x)=6(7x+2)^2-2_{} \\ (g\circ f)(x)=6(7x+2)(7x+2)-2=6(49x^2+14x+14x+4)-2 \\ (g\circ f)(x)=6(49x^2+28x+4)-2 \\ (g\circ f)(x)=294x^2+168x+24-2 \\ (g\circ f)(x)=294x^2+168x+22^{} \end{gathered}[/tex]
That is the answer.
