Question

Let f be a 1-1 function such that f(a) = b, f(b) = c, and f(c) = a. Find the following.
f −1(f −1(c))

Answer 1

\[f^{-1}(c)=b\] since
\[f(b)=c\]
then
\[f^{-1}(f^{-1}(c))=f^{-1}(b)\]
and
\[f^{-1}(b)=a\] since
\[f(a)=b\]

Answer 2

f −1(f −1(c))

Answer 3

still dont get this