Make up two linear functions, f and g. Enter Y1 = f (x) and Y2 = g(x). Enter f (g(x)) in Y3 as Y1(Y2) and g( f (x)) in Y4 as Y2(Y1).
a. Display the graphs of f (g(x)) and g(f(x)). Describe the relationship between them.
b. Change f (x) or g(x) or both, and again graph f (g(x)) and g(f(x)). Does the relationship you found in 14a still seem to be true?
c. Explain the relationship algebraically.