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For f(x) = 2x+1 and g(x) = x² − 7, find (f+ g)(x).

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Given the functions:


\begin{gathered} f(x)=2x+1 \\ \\ g(x)=x^2-7 \end{gathered}

By definition, (f+g)(x) is equivalent to:


(f+g)(x)=f(x)+g(x)

Finally, using the expressions for f and g:


\begin{gathered} f(x)+g(x)=2x+1+x^2-7 \\ \\ \therefore(f+g)(x)=x^2+2x-6 \end{gathered}

User Oscar Bralo
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