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

Express your answer as a polynomial in standard form.f(x) = x + 10g(x) = 2?= 2? + 2x-example-1

1 Answer

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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.

User Dharmang
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