Question

Given two functions f(x) and g(x)Form the composition (g•f)(x) ?

Answer 1

`(g\circ f)(x)=294x^2+168x+22`

Step-by-step explanation

We want to find the composition:

`(g\circ f)(x)`

This is the same as:

`g(f(x))`

In other words, substitute the function f(x) for x in g(x):

`\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}`

That is the answer.