Question

Express your answer as a polynomial in standard form.f(x) = x^2 + 6x +7g(x) = x + 2Find: g(f(x)

Answer 1

`y=x^2+6x+9`

1) Firstly, let's find the composite function g(f(x)) plugging into the x variable in g(x) the function f(x):

`\begin{gathered} g(f(x))=(x^2+6x+7)+2 \\ g(f(x))=x^(2)+6x+9 \end{gathered}`

2) To write that as the standard form, let's replace g(f(x)) with "y" and write the polynomial orderly to the greatest coefficient to the least one.

`y=x^2+6x+9`