Let $f(x)=\dfrac{x+3}{x-4}$ and let $g(x)=-2\cdot3^{-x}+7$. The graph of $y=f(x)$ is shown below. **Use the interactive graph to sketch a graph of $y=g(x)$. ** [[☃ grapher 1]] Let $x_1$ and $x_2$ be solutions of $\,\dfrac{x+3}{x-4}=-2\cdot3^{-x}+7$, where $x_1<x_2$. **Estimate the value of $x_1$. ** *Answers within $\textit{0.5}$ units of the solution will be accepted.* [[☃ math-keypad 1]]