Home
Class 12
MATHS
If f(x)=(1-x)/(1+x), prove that f[f{f(...

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

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1-x)/(1+x), prove that f{f((1)/(x))}=1/x[x ne0]

If f(x)=(1-x)/(1+x) , then prove that f(x)+f(1/x)=0 .

If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

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

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

If f(x) = (x-1)/(x+1) , then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/(1+xy) .

If 2f(x-1)-f((1-x)/x)=x , then prove that 3f(x)=2(x+1)+1/(x+1) .

If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

If f(x)=1/(4x^(2)) , then proved that (f(x-h)-f(x+h))/h=x/((x^(2)-h^(2))^(2))

If f(x) = 1/(1+x) , then find f[f{f(x)}] .