Question

Express your answer as a polynomial in standard form.f(x) = x + 10g(x) = 2?= 2? + 2x – 7Find: (fog)(x)

Answer 1

Given function f and g, we can write:

$(f\circ g)(x)=f(g(x))$

This means that we can just substitute g(x) into f to obtain the result. So let's do that:

$\begin{gathered} (f\circ g)(x)=f(g(x))=g(x)+10=(x^2+2x-7)+10 \\ (f\circ g)(x)=x^2+2x-7+10 \\ (f\circ g)(x)=x^2+2x+3 \end{gathered}$

This already is in the standard form, so that is the answer.