A function `f` is defined by `f(x)=1/(2^(r-1)),1/(2^r)ltxlt=1 (2^(r-1)),r="1,2,3` then the value of `int_0^1f(x)dx`

The function f:R rarr R is defined by f(x)=(x-1)(x-2)(x-3) is

Let f:R rarr R be a function is defined by f(x)=x^(2)-(x^(2))/(1+x^(2)), then

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

The function f:R^(+)rarr(1,e) defined by f(x)=(x^(2)+e)/(x^(2)+1) is

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

Let f(x) be a non-negative continuous function defined on R such that f(x)+ f(x+(1)/(2))=3 ,then the value of (1)/(1008)*int_(0)^(2016)f(x)dx

If the function f:R rarr R defined by f(x)=(4^(x))/(4^(x)+2) then show that f(1-x)=1-f(x) and hence deduce the value of f( 1/ 4 )+2f( 1 /2 )+f( 3/4 ) .

If f:R rarr R is defined by f(x)=x/(x^2+1) find f(f(2))