The function `y=f(x)` such that `f(x+1/x) = x^2 + 1/x^2`

If a function f(x) is such that f(x+1/x) = x^(2)+1/(x^2) , then (fof)(sqrt(11)) =

The function f(x)=x^(2)-x+1 is :

f is a function such that f(x)+2f(1-x)=x^(2)+1 . Value of f(3) is

Let f : [-1, 2]to [0, oo) be a continuous function such that f(x)=f(1-x), AA x in [-1, 2] . If R_(1)=int_(-1)^(2)xf(x)dx and R_(2) are the area of the region bounded by y=f(x), x=-1, x=2 and the X-axis. Then :

The function f(x)=|x-1|+|x-2| is

If the graph of the function y = f(x) is as shown : The graph of y = 1//2(|f(x)|-f(x)) is

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

The function f(x), for which f(x)={x^(2),xne1 2, x=1} Show that: lim_(x to 1) f(x)=1