Let f(x)=(alphax)/(x+1),x ne -1. Then, f...

Let `f(x)=(alphax)/(x+1),x ne -1`. Then, for what values of `alpha` is f[f(x)]=x?

A

`sqrt(2)`

B

`-sqrt(2)`

C

1

D

-1

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

For function f(x) = (alpha x)/(x+1) , x ne -1 if fof(x) = x then alpha = ..........

Let f(x) = (x+1)^(2) - 1, (x ge - 1) . Then, the set S = {x : f(x) = f^(-1)(x)} is

Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then least value of f(x) is

Let f(x)= sqrt(1+x^(2)) then,

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

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

f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

If f(x)=(x-1)/(x+1) , then f(a x) in terms of f(x) is equal to

If f(x)= (x-3)/(x + 1) then f[f {f(x)}] = …….

If f(x)=(1)/((1-x)),g(x)=f{f(x)}andh(x)=f[f{f(x)}] . Then the value of f(x).g(x).h(x) is