Home
Class 12
MATHS
If f(x)=(1)/(1+x) then prove that f(x)+f...

If `f(x)=(1)/(1+x)` then prove that `f(x)+f((1)/(x))=1`

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=x-(1)/(x) then prove that f(x)=-f((1)/(x))

If f(x)=(1)/(1-x) , then prove that : f[f{f(x)}]=x

f(x)=(1)/(1-x), thenprovethatf [f{f(x)}]=x

If f (x) =(x-1)/(x+1), then prove that f{f(x)}=-1/x.

If f(x)=(x-1)/(x+1) , then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a)/(1+ab)

If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3)

If f(x)=x+(1)/(x) , then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x))

If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^(2))]=2f(x)

If f(x)="log"(1+x)/(1-x) , then prove that: f((2x)/(1+x^(2)))=2f(x)

Let (x) is a real function, defines as f(x) =(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3).