" (d) "quad f:R-{1}rarr R" defined by "f(x)=(x+1)/(x-1)

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) .

Let f:R rarr R be defined as f(x)=2x-1 and g:R-{1}rarr R be defined as g(x)=(x-(1)/(2))/(x-1) .Then the composition function f(g(x)) is :

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

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

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

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

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) .

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.

If f:R-{5//2}rarr R-{-1} defined by f(x)=(2x+3)/(5-2x) then f^(-1)(x)=