Part c
For HL, provide the refined intersection coordinates with each value rounded to three decimal places.
Finding the Intersection of a Rational and a Linear Function
Find the point(s) of intersection between the rational function \(f(x)=\frac{2x}{x-1}\) and the linear function \(g(x)=3x-5\). Ensure to consider the domain restrictions for the rational function.
Part b
Solve analytically for the intervals in \([0, \pi)\) where \(\tan(x) < 2\), considering the undefined point at \(x=\frac{\pi}{2}\).