Recent content by pravaluvian

must be the wire itself if there's no contaminant

f: R->R defined by f(x) = (x+1) / (x^2 + 1) Find f^-1((0,1)) Similarly, please show that f^-1 ((-1,2)) of f(x) = x^2 where f: R->R is (-sqrt(2), sqrt(2)).

In class we showed that for f: R -> R where f(x) = x^2, f^-1 ((-1,2)) = (-sqrt(2), sqrt(2)). Similarly, what is f^-1 ((0,1)) for f: R->R defined by f(x) = (x+1) / (x^2 + 1)