We have been given two functions which are;
[tex]\begin{gathered} k(x)=3x+2 \\ \text{And} \\ h(x)=-2x-8 \end{gathered}[/tex]The algebraic solution is shown below;
[tex]\begin{gathered} k(x)=h(x) \\ 3x+2=-2x-8 \\ \text{Collect like terms} \\ 3x+2x=-8-2 \\ 5x=-10 \\ \text{Divide both sides by 5} \\ \frac{5x}{5}=-\frac{10}{5} \\ x=-2 \end{gathered}[/tex]The graphical solution of k(x) = h(x) is now shown below;
Note that the purple line shows;
