Question

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

Answer 1

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.