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]]