I'm trying to Plot a graph of 1/Sqrt[x^2-4] with the asymptotes shown with Exclusions. Plot 1 below works, but Plot 2 doesn't show any asymptotes. Why is this?
Plot 1 Plot[1/(x^2 - 4), {x, -10, 10}, Exclusions -> x^2 - 4 == 0, ExclusionsStyle -> Directive[Red, Dashed], ImageSize -> 600 ]
Plot 2 Plot[1/Sqrt[x^2 - 4], {x, -10, 10}, Exclusions -> Sqrt[x^2 - 4] == 0, ExclusionsStyle -> Directive[Red, Dashed], ImageSize -> 600 ]