jmc

The functions $p(x),$ $q(x),$ and $r(x)$ are all invertible. We set $$f=q\circ p\circ r.$$Which is the correct expression for $f^{-1}$?

A. $r^{-1}\circ q^{-1}\circ p^{-1}$

B. $p^{-1}\circ q^{-1}\circ r^{-1}$

C. $r^{-1}\circ p^{-1}\circ q^{-1}$

D. $q^{-1}\circ p^{-1}\circ r^{-1}$

E. $q^{-1}\circ r^{-1}\circ p^{-1}$

F. $p^{-1}\circ r^{-1}\circ q^{-1}$

Enter the letter of the correct expression for $f^{-1}.$