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  • I think you can weld segments in spath3. I never got the hang of it though. Commented Nov 22 at 19:04
  • Alternatively (which is what I would do), you could calculate everything manually. Commented Nov 22 at 19:05
  • Thanks @Jasper. I can shade a polygon using \draw [filled] (coord) -- (coord) -- etc but I don't know how to handle the parabolas. I've edited my post to reflect this. Commented Nov 22 at 19:49
  • You have a reciprocal equation for the hyperbola, and a linear equation for the line. You can find their intersection by setting those equations equal to each other and solving for x. Basically, represent the line segment not as two points, but as y=mx+b or whatever. Commented Nov 22 at 19:53
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    You can choose the domain as you wish: \fill [domain=0.5:3] (0,0) -- (0.5,1.2/0.5) -- plot (\x, { 1.2/\x)}) -- cycle; Commented Nov 22 at 19:56