`f:R-{1}rarr R` defined by `f(x)=(x+1)/(x-1).`

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 is defined by f(x)=x^2+2 and g : R-{1} rarr R is defined by g(x)=x/(x-1) , find (fog)(x) and (gof)(x) .

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is

Let f:R rarr R be defined by f(x)=(x)/(x^(2)+1) Then (fof(1) equals

If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

The function f:R rarr R is defined by f(x)=(x-1)(x-2)(x-3) is

Show that f:R rarr R defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.

Classify f:R rarr R, defined by f(x)=(x)/(x^(2)+1) as injection,surjection or bijection.

Show that f: R rarr R defined by f(x) = (x-1) (x-2) (x-3) is surjective but not injective