Question

K(x) = 3x + 2 1h(a) = - 2x - 8 For what value of x is k(x) = h(x)

Answer 1

We have been given two functions which are;

`\begin{gathered} k(x)=3x+2 \\ \text{And} \\ h(x)=-2x-8 \end{gathered}`

The algebraic solution is shown below;

`\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} \\ (5x)/(5)=-(10)/(5) \\ x=-2 \end{gathered}`

The graphical solution of k(x) = h(x) is now shown below;

Note that the purple line shows;