Given the graph of the function f determine the following af
Given the graph of the function f, determine the following a.f^-1(3) = b.f^-1(1) = c.f^-1(0) = d.f(f^-1(0)) = e.f^-1(f^_1(0.5)) =
Solution
a) f^-1(3) would be the point where f(x) = 3
So, x=-2
f^-1(3) = -2
b) f^-1(1) would be the point where f(x) = 1
x= 2
So, f^-1(1) = 2
c) f( f^-1(0)) would be the point where f(x) =0
x = 4
f^-1(0) =4
So, f( f^-1(0)) = f(4) = 0
d) f^-1(f^-1(0.5) )
f^-1(0.5) where f(x)= 0.5
x= 3
f^-1(0.5) =3
f^-1(f^-1(0.5) ) = f^-1(3)
where f(x) = 3
x= -2
f^-1(f^-1(0.5) ) = f^-1(3) = -2
