Question

Question 10 of 12, Step 2 of 2CorrectGiven two functions f(x) and g(x):S(x) = 3x2 + 4, 8(x) = 3x - 2Step 2 of 2: Form the composition (88)(x).Answer(88)(x) =

Answer 1

Composite Functions

Given the functions:

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

It's required to find the composition of g and f (g o f)(x).

The composition of g and f is equivalent to substituting f(x) into g(x) as follows:

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

Operating:

`\begin{gathered} (g\circ f)(x)=9x^2+12-2 \\ Simplifying: \\ (g\circ f)(x)=9x^2+10 \end{gathered}`