AS/A2 Pure 4 Pure 6

P5 Topic 2: Hyperbolic functions
Graphs and properties: arc sinh(ax)
Move the point a left or right to change the value of the parameter a in the graph of y = arcsinh(ax). Also displayed are the inverse function and the line y=x. What is the equation of the inverse function?

Summary the graphs of y = arcsinh(ax) and its inverse function are reflections in the line y=x the equation of the inverse function is y=(sinh x)/a The Plane Graphic Calculator java applet