If `f(x)+f((1)/(1-x))=(1)/(x), x in R-{0,1}`, if the value of `f(2)` is `(p)/(q)` (in lowest form) then `|p-q|` is equal to

If f(x)+f(1/(1-x))=1/x, x in R -{0,1}, if the value of f(2)=p/q (in lowest form) then |p-q|=

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

f(x)=x,x in Q and f(x)=1-x,x in R-Q Then find the value of [f(1)]+|(f(e))]|

f(x) = (x (x-p))/(q - p) + (x (x - q))/(p - q) , p ne q. What is the value of f (p) + f(q) ?

let f(x)=5 , -oo 1) f(g(x))=5 then find the value of 2p+q

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

For x in R , x ne0, 1, let f_(0)(x)=(1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)),n=0,1,2….. Then the value of f_(100)(3)+f_(1)((2)/(3))+f_(2)((3)/(2)) is equal to

If f(x)=(p-x^(n))^((1)/(n)),p>0 and n is a positive integer then f[f(x)] is equal to

For x in R-{0,1}, let f_(1)(x)=(1)/(x),f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions.If a function,J(x) satisfies (f_(2)oJof_(1))(x)=f_(3)(x) then J(x) is equal to