If `f : R-{-1} rarr R-{1}` be defined by `f(x)= (x-1)/(x+1)`, verify that `fof^-1` is an identity function.

If f : R rarr R be defined by f(x)=|x| , show that fof=f

Show that f : R-{a} rarr R-{-1} defined by f(x)= (a+x)/(a-x) is invertible. Find the formula for f^-1(x) .

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

Find f {f (x)} if f(x)=(x+1)/(x-1)

Let f : R rarr R be defined as f(x)=x^3+2 . Show that f^-1 : R rarr R exists and hence find the formula for f^-1 .

Show that f : [0,1]rarr]0,1] defined by f(x)=1/(x^2+1) is invertible and find f^-1(x) .

Show that the function f : R_0 rarr R_0 defined by f(x)=1/x , where R_0 is the set of nonzero real numbers is bijective.

If f(x)=(x-1)/(x+1) ,then show that f(1/x)=-f(x) .

If f(x)=1/x and g(x)=0 show that fog is not defined.