Re: ISI MSQE prev year question

Posted by Amit Goyal on Dec 04, 2013; 9:03am
URL: http://discussion-forum.276.s1.nabble.com/ISI-MSQE-prev-year-question-tp7584297p7584298.html

Note that f satisfies:
f(x) = xf(x) for all x
Above can be rewritten as:
(1-x)f(x) = 0 for all x
Thus when x ≠ 1, we must have f(x) = 0.
And since f is continuous, f(1) must also be 0.
So, we get f(2) = 0 = f(1).