Given the domain restriction x ≥ 0, show

(a) algebraically and

(b) graphically that the inverse function exists for y = x2.

(a) Given y = x2 and the restricted domain x ≥ 0, the inverse function is simply

(b) Constructing schedules and drawing the relevant graphs in Fig. 4-25, it is clear that the graph of the inverse function passes the vertical line test. For all x ≥ 0,

Transcribed Image Text:

x = y