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F(x)=x^2, g(x) =6x+4

1 Answer

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Determine the expression for (f+g)(x).


\begin{gathered} (f+g)(x)=f(x)+g(x) \\ =x^2-2x+6x+4 \\ =x^2+4x+4 \end{gathered}

Simplify the equation for (f+g)(x) = 0.


\begin{gathered} (f+g)(x)=0 \\ x^2+4x+4=0 \\ (x+2)^2=0 \\ (x+2)(x+2)=0 \\ x=-2 \end{gathered}

So answer is x = -2.

User Mpeac
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