Page 58 - Calculus Demystified
P. 58
Basics
CHAPTER 1
y 45
x
Fig. 1.47
y
x
Fig. 1.48
EXAMPLE 1.44
Sketch the graph of the inverse of the function f whose graph is shown in
Fig. 1.49.
SOLUTION
By inspection of the graph we see that f is one-to-one (i.e., takes different
domain values to different range values) and onto (i.e., takes on all values in
the range) from S =[−2, 3] to T =[1, 5]. Therefore f has an inverse. The
graph of f −1 is exhibited in Fig. 1.50.
