I've been working away on the sample tests but here's one question I just can't get. I'm pretty bad with inverse functions.
Firstly, let's call int(0,inf)[f] the integral from 0 to infinity of a function f.
Let f be a continuous, strictly decreasing, real-valued function such that int(0,inf)[f] is finite and f(0)=1. In terms of f^-1 (the inverse fucntion of f), int(0,inf)[f] is
(A) less than int(1,inf)[f^-1]
(B) greater than int(0,1)[f^-1]
(C) equal to int(1,inf)[f^-1]
(D) ANS equal to int(0,1)[f^-1]
(E) equal to int(0,inf)[f^-1]
Thanks in advance,
David