Question

For the given functions f and g, find the indicated composition.f(x) = -3x + 4, g(x) = 4x + 2(g∘ f)(x)

Answer 1

In order to calculate the composite function (gof)(x), we need to use f(x) as the input (value of x) of the function g(x).

So we have:

`\begin{gathered} g(x)=4x+2\\ \\ g(f(x))=4f(x)+2\\ \\ g(f(x))=4(-3x+4)+2\\ \\ g(f(x))=-12x+16+2\\ \\ g(f(x))=-12x+18 \end{gathered}`