The curve C C\,C has equation y=6xy=\dfrac{6}{x}y=x6 and the line l l\,l has equation y=x+1y=x+1y=x+1.
Find the coordinates of the points where C C\,C and l l\,l intersect.
Explain how your answers to part (a) are related to the solutions of 6x=x+1\dfrac{6}{x}=x+1x6=x+1.
State the equations of the asymptotes of CCC.