A curve \(C\) has equation \(y=\dfrac{4x+9}{x+2}\).
Show that the gradient of \(C\) is negative for all points on \(C\).[3]
By expressing the equation of \(C\) in the form \(y=a+\dfrac{b}{x+2}\), where \(a\) and \(b\) are constants, write down the equations of the asymptotes of \(C\).[3]
Describe a pair of transformations which transforms the graph of \(C\) onto the graph of \(y=\dfrac1x\).[2]