Let `f : X rarr Y` be invertible, show that the inverse of `f^(-1)` = f,
i.e.,`(f^(-1))^(-1) = f`.

Let f : X rarr Y be invertible, show that f has unique inverse

Let f: R rarr R , where f(x) = sinx , Show that f is into

if f(x)=x/(x-1) , x!=1 find the inverse of f

Let f (x) = 3x - 5. The inverse of f is given by

Consider f : R rarr R given f(x) = 4x + 3. Show that f is invertible. Find the inverse of f.

If f: RrarrR be defined by f(x)=3x+2.Show that f is invertible.Find f^-1:RrarrR .Hence find f^-1(3) and f^-1(0)

If f is differentiable at x=1, then lim_(x rarr 1) (x^(2) f(1)-f(x))/(x-1) is

Find the inverse of the function f: R rarr (-oo,1) given by f(x) = 1-2^(-x)

Consider f : {1, 2, 3} rarr {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. find f^(-1) and show that (f^(-1))^(-1) = f