Use the graph to evaluate the expression f2 f12 f10 f1f2Solu

Use the graph to evaluate the expression. f(-2) f^-1(2) f^-1(0) (f^-1.f)(2)

Solution

from the graph we have

f(-2)=-1   f(-3)=-2 f(0)=1 f(-1)=0 f(1)=2   f(2)=3

hence

a)f(-2)=1 [answer]

b) f(1)=2   hence f^-1(2)=1 [answer]

c) f(-1)=0 hence f^-1(0)=-1 [answer]

d) (f^-1f)(2)=f^-1f(2)=f^-1(3)=2   as f(2)=3

hence (f^-1f)(2)=2 [answer]