If `f(x) = (1+ x)/(1-x)`, show that `f(f (tan theta)) = - cot theta`.

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

If f(x)=(1-x^(2))/(1+x^(2)) then show that f(tan theta)=cos2 theta

(i) If f(x) = x + (1)/(x) prove that: [f(x)]^(3) = f(x^(3)) + 3f ((1)/(x)) (ii) If f(x) = x^(3) - (1)/(x^(3)) , prove that f(x) + f((1)/(x)) = 0 (iii) If f(x) = (1-x^(2))/(1+ x^(2)) , prove that f (tan theta) = cos 2 theta

If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

If f(x)=1/(1-x) show that f(f(f(x)))=x

If f(x)=(1-x^(2))/(1+x^(2)) , then prove that: f(tan theta)=cos 2theta

If f(x)=(2)/(1+x)-1 show that f[f{f(x)}]=f(x)

If f(x) =(1-x)/(1+x) then f(cos theta) is

If f(x)=(1-x)/(1+x), find f(cos theta)

If f(x)=(1-x)/(1+x) , xne1 then show that f(1/x)=-f(x)