Question

Question 10 of 12, Step 1 of 27/15CorrectGiven two functions/) and (c):/() = 3x2 + 4, 8(x) = 3x - 2Step 1 of 2: Form the composition (g)(x).Answer(g)(x) =

Answer 1

Given the following functions:

$\begin{gathered} f(x)=3x^2+4 \\ g(x)=3x-2 \end{gathered}$

We will form the composition ( f o g)(x)

So, substitute with the function (g) into the function (f)

$(f\circ g)(x)=3(3x-2)^2+4$

Simplify the expression:

$\begin{gathered} (f\circ g)(x)=3(9x^2-12x+4)+4 \\ (f\circ g)(x)=27x^2-36x+12+4 \\ \\ (f\circ g)(x)=27x^2-36x+16 \end{gathered}$

So, the answer will be;

$(f\circ g)(x)=27x^{2}-36x+16$