Here's the question:
Let R be the set of real numbers and let f be the function from R to R defined by
f(x) = 1/[(x^2)+1] for all x in R
Let C= {r in R|r<(1/5)}.
Find the set f^-1 (C)
From what I understand, I get:
f^-1(C)={x in R|[1/[(x^2)+1]] < (1/5)
I'm not sure if that is even close to being correct, but after I get to this point, I have no clue where to go with it.