Answer
See graph, $\left(1,-2\right),\left(5,2\right)$
Work Step by Step
1. The exercise does not limit the method to use, so we can use the graphing method.
2. See graph for equations $y=\frac{4}{x-3}$ and $x^2-6x+y^2+1=0$.
3. We can identify the intersects(s) as: $\left(1,-2\right),\left(5,2\right)$
