Function Composition

Enter functions f and g and select the composite function you would like to view. Note the relationship between the composite and original functions. How do the domain and range of the original functions and the composite functions compare? Pay attention to the effect on interesting features of the original functions, such as turning points or asymptotes. Try entering a function and its inverse. To change the viewing window, hold the shift button and left-click to drag the graph or use the scroll wheel to zoom in/out. You can also adjust the axes by holding the shift button and left-click on the axis you want to change.