In Try This 3 you may have found that has no solution. The error Tyrone made was that he did not identify the non-permissible values before solving; he also did not check his solution. A check would have determined that x = 3 is an extraneous solution. Kalina thought the graph crossed at x = 3 because the lines became very close at that point; x = 3 is actually an asymptote on the graph. Both f(x) and g(x) will approach the asymptote and each other, but they will never intersect.