AS/A2 Pure 1 Pure 3

P2 Topic 2: Functions
Composition of functions 2
Use this applet to explore the composition of functions. Move the red square. Identify what the combined function gf(x) is. Then try the rest of the 12 combinations provided

Answers 1: y=2(x+3) 2: y=5(x-1) 3: y=5x-1 4: y=x2+1 5: y=(x-2)2 6: y=2sin x 7: y=cos 2x 8: y=cos(x2) 9: y=sin2x 10: y=1/x2 11: y=1/x2 12: y=1/x + 1 Based on free Java applets from JavaMath